# Puzzle 20141122225565

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NATURAL:. The _______domain of any polynomial function is − < x < .
SINGLE:A monomial in x is a ________ term of the form axn, where a is a real number and n is a whole number.
VARIABLE:. a zero, also sometimes called a________, of a real-, complex- or generally vector-valued function f is a member x of the domain of f such that f(x) vanishes at x; that is
ROOT:. a _________is an alphabetic character representing a number which is either arbitrary or not fully specified or unknown.
SECOND:All we have to do is switch the subtraction to addition and then change the ______ number to its opposite.
TWO:. A cubic could have up to ______turning points.
QUADRATIC:A _________is a polynomial that has two-terms.
PARABOLA:. Another name for the graph of a quadratic function.
SIGNS:Descartes' Rule of _____states that the number of positive real roots is less than or equal to the number of variations in the function f(x) .
CONSTANT:A ________ is a symbol that has a single value.
ONE:. A quadratic has only _____turning point.
UNDEFINED: The function f(x) = 0 is also a polynomial, but we say that its degree is______.
NONLINEAR:. Root-finding algorithms are used to solve _______equations (they are so named since a root of a function is an argument for which the function yields zero).
TERM:The leading______ of a polynomial is the term of highest degree.
FUNCTION:The zeros of a ________are the x coordinates of the x intercepts of the graph of f.
AXIS:. The line of symmetry of a parabola.
TURNINGPOINT: of a function is a point where the graph of the function changes from sloping downwards to sloping upwards, or vice versa.
DEGREE:. The _____ of a polynomial is the highest power of x in its expression.
ZERO:Factor theorem problems are typically solved by applying synthetic division and then checking for a ______remainder.
QUARTIC:. A polynomial function is a function such as a quadratic, a cubic, a ______ and so on
VERTEX:The point on a parabola at which the quadratic function reaches its minimum or maximum value.
SYMBOLS:Numerals are _______s for numbers
CUBIC:Some ______have fewer turning points for example f(x) = x 3
COEFFICIENTS:The _______ of a polynomial are often taken to be real or complex numbers, but in fact, a polynomial may be defined over any ring.
GENERAL: The ________ form of a polynomial shows the terms of all possible degree.
DIVISION:Synthetic ________is a method of performing polynomial long division, with less writing and fewer calculations.
ADDITION:. When subtracting numbers, it is possible to change the problem to_________.
NEVER:Asymptote A line that a function approaches but ______intersects.
TABLE: The best way to multiply polynomials is to do so using a visual organizer. We used a visual organizer in grammar school, called a multiplication ______ .
VALUE: the Remainder Theorem states that the remainder that we end up with when synthetic division is applied actually gives us the functional_______.
POLYNOMIAL:a _________ is an expression consisting of variables, called indeterminates, and coefficients that involves only the operations of addition, subtraction, multiplication, and non-negative integerexponents.
DERIVATIVE:The ______ at a point of a function of a single variable is the slope of the tangent line to the graph of the function at that point.
LEADING:The _______ coefficient of a polynomial is the coefficient of the leading term.
FACTOR:Synthetic division is a shorthand, or shortcut, method of polynomial division in the special case of dividing by a linear ______.
NOT:The constant term of a polynomial is the term of degree 0; it is the term in which the variable does ____appear.
NO:But ____cubic has more than twoturning points.
THEOREM:The factor _______is a theorem linking factors and zeros of a polynomial.
GRAPH:The _______of a function f is the collection of all ordered pairs.
EQUATION: A relation between some variables that is presented as the equality of some expressions written in terms of those variables' values.
COMBINED:When adding polynomials, like terms must be _______. For instance, 3c and 5c can be added to get 8c.

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Across:1. | Numerals are _______s for numbers | 3. | . a zero, also sometimes called a________, of a real-, complex- or generally vector-valued function f is a member x of the domain of f such that f(x) vanishes at x; that is | 7. | Factor theorem problems are typically solved by applying synthetic division and then checking for a ______remainder. | 8. | a _________ is an expression consisting of variables, called indeterminates, and coefficients that involves only the operations of addition, subtraction, multiplication, and non-negative integerexponents. | 9. | The _______ of a polynomial are often taken to be real or complex numbers, but in fact, a polynomial may be defined over any ring. | 12. | of a function is a point where the graph of the function changes from sloping downwards to sloping upwards, or vice versa. | 15. | . A cubic could have up to ______turning points. | 16. | Synthetic ________is a method of performing polynomial long division, with less writing and fewer calculations. | 18. | . When subtracting numbers, it is possible to change the problem to_________. | 22. | A relation between some variables that is presented as the equality of some expressions written in terms of those variables' values. | 24. | Descartes' Rule of _____states that the number of positive real roots is less than or equal to the number of variations in the function f(x) . | 25. | Asymptote A line that a function approaches but ______intersects. | 26. | . The _______domain of any polynomial function is − < x < . | 29. | When adding polynomials, like terms must be _______. For instance, 3c and 5c can be added to get 8c. | 31. | All we have to do is switch the subtraction to addition and then change the ______ number to its opposite. | 34. | The _______of a function f is the collection of all ordered pairs. | 35. | The best way to multiply polynomials is to do so using a visual organizer. We used a visual organizer in grammar school, called a multiplication ______ . | 36. | the Remainder Theorem states that the remainder that we end up with when synthetic division is applied actually gives us the functional_______. | 37. | The factor _______is a theorem linking factors and zeros of a polynomial. |
| | Down:1. | A monomial in x is a ________ term of the form axn, where a is a real number and n is a whole number. | 2. | Some ______have fewer turning points for example f(x) = x 3 | 4. | The _______ coefficient of a polynomial is the coefficient of the leading term. | 5. | The ______ at a point of a function of a single variable is the slope of the tangent line to the graph of the function at that point. | 6. | A ________ is a symbol that has a single value. | 10. | The zeros of a ________are the x coordinates of the x intercepts of the graph of f. | 11. | But ____cubic has more than twoturning points. | 13. | A _________is a polynomial that has two-terms. | 14. | . a _________is an alphabetic character representing a number which is either arbitrary or not fully specified or unknown. | 17. | The point on a parabola at which the quadratic function reaches its minimum or maximum value. | 18. | . The line of symmetry of a parabola. | 19. | . A quadratic has only _____turning point. | 20. | The function f(x) = 0 is also a polynomial, but we say that its degree is______. | 21. | . Another name for the graph of a quadratic function. | 23. | . A polynomial function is a function such as a quadratic, a cubic, a ______ and so on | 26. | . Root-finding algorithms are used to solve _______equations (they are so named since a root of a function is an argument for which the function yields zero). | 27. | The leading______ of a polynomial is the term of highest degree. | 28. | The ________ form of a polynomial shows the terms of all possible degree. | 30. | The constant term of a polynomial is the term of degree 0; it is the term in which the variable does ____appear. | 32. | . The _____ of a polynomial is the highest power of x in its expression. | 33. | Synthetic division is a shorthand, or shortcut, method of polynomial division in the special case of dividing by a linear ______. |
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Across:1. | Numerals are _______s for numbers | 3. | . a zero, also sometimes called a________, of a real-, complex- or generally vector-valued function f is a member x of the domain of f such that f(x) vanishes at x; that is | 7. | Factor theorem problems are typically solved by applying synthetic division and then checking for a ______remainder. | 8. | a _________ is an expression consisting of variables, called indeterminates, and coefficients that involves only the operations of addition, subtraction, multiplication, and non-negative integerexponents. | 9. | The _______ of a polynomial are often taken to be real or complex numbers, but in fact, a polynomial may be defined over any ring. | 12. | of a function is a point where the graph of the function changes from sloping downwards to sloping upwards, or vice versa. | 15. | . A cubic could have up to ______turning points. | 16. | Synthetic ________is a method of performing polynomial long division, with less writing and fewer calculations. | 18. | . When subtracting numbers, it is possible to change the problem to_________. | 22. | A relation between some variables that is presented as the equality of some expressions written in terms of those variables' values. | 24. | Descartes' Rule of _____states that the number of positive real roots is less than or equal to the number of variations in the function f(x) . | 25. | Asymptote A line that a function approaches but ______intersects. | 26. | . The _______domain of any polynomial function is − < x < . | 29. | When adding polynomials, like terms must be _______. For instance, 3c and 5c can be added to get 8c. | 31. | All we have to do is switch the subtraction to addition and then change the ______ number to its opposite. | 34. | The _______of a function f is the collection of all ordered pairs. | 35. | The best way to multiply polynomials is to do so using a visual organizer. We used a visual organizer in grammar school, called a multiplication ______ . | 36. | the Remainder Theorem states that the remainder that we end up with when synthetic division is applied actually gives us the functional_______. | 37. | The factor _______is a theorem linking factors and zeros of a polynomial. |
| | Down:1. | A monomial in x is a ________ term of the form axn, where a is a real number and n is a whole number. | 2. | Some ______have fewer turning points for example f(x) = x 3 | 4. | The _______ coefficient of a polynomial is the coefficient of the leading term. | 5. | The ______ at a point of a function of a single variable is the slope of the tangent line to the graph of the function at that point. | 6. | A ________ is a symbol that has a single value. | 10. | The zeros of a ________are the x coordinates of the x intercepts of the graph of f. | 11. | But ____cubic has more than twoturning points. | 13. | A _________is a polynomial that has two-terms. | 14. | . a _________is an alphabetic character representing a number which is either arbitrary or not fully specified or unknown. | 17. | The point on a parabola at which the quadratic function reaches its minimum or maximum value. | 18. | . The line of symmetry of a parabola. | 19. | . A quadratic has only _____turning point. | 20. | The function f(x) = 0 is also a polynomial, but we say that its degree is______. | 21. | . Another name for the graph of a quadratic function. | 23. | . A polynomial function is a function such as a quadratic, a cubic, a ______ and so on | 26. | . Root-finding algorithms are used to solve _______equations (they are so named since a root of a function is an argument for which the function yields zero). | 27. | The leading______ of a polynomial is the term of highest degree. | 28. | The ________ form of a polynomial shows the terms of all possible degree. | 30. | The constant term of a polynomial is the term of degree 0; it is the term in which the variable does ____appear. | 32. | . The _____ of a polynomial is the highest power of x in its expression. | 33. | Synthetic division is a shorthand, or shortcut, method of polynomial division in the special case of dividing by a linear ______. |
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