Polynomial Functions

Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a polynomial function?
Back
A polynomial function is a mathematical expression involving a sum of powers in one or more variables multiplied by coefficients. The general form is f(x) = a_n*x^n + a_(n-1)*x^(n-1) + ... + a_1*x + a_0, where n is a non-negative integer and a_n ≠ 0.
2.
FLASHCARD QUESTION
Front
What are the zeros of a polynomial function?
Back
The zeros of a polynomial function are the values of x for which the function f(x) equals zero. They are also known as the roots of the polynomial.
Tags
CCSS.HSF-IF.C.7C
3.
FLASHCARD QUESTION
Front
How do you find the zeros of a polynomial function?
Back
To find the zeros of a polynomial function, set the function equal to zero and solve for x. This can involve factoring, using the quadratic formula, or applying numerical methods.
Tags
CCSS.HSF-IF.C.7C
4.
FLASHCARD QUESTION
Front
What is the maximum number of zeros a polynomial function can have?
Back
The maximum number of zeros a polynomial function can have is equal to its degree. For example, a polynomial of degree n can have at most n zeros.
5.
FLASHCARD QUESTION
Front
What is the minimum number of zeros a polynomial function can have?
Back
The minimum number of zeros a polynomial function can have is zero. A polynomial can have no real roots, especially if it does not cross the x-axis.
6.
FLASHCARD QUESTION
Front
What is the relationship between the degree of a polynomial and its graph?
Back
The degree of a polynomial affects the shape of its graph. Higher degree polynomials can have more complex shapes, including multiple turns and intersections with the x-axis.
7.
FLASHCARD QUESTION
Front
What is a turning point in the context of polynomial functions?
Back
A turning point is a point on the graph of a polynomial function where the graph changes direction from increasing to decreasing or vice versa. The maximum number of turning points is one less than the degree of the polynomial.
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