PreCalculus Flashcard 2.4
Flashcard
•
Mathematics
•
9th - 12th Grade
•
Hard
Standards-aligned
Wayground Content
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15 questions
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1.
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 equals zero. They are also known as the roots of the polynomial.
Tags
CCSS.HSF-IF.C.7C
2.
FLASHCARD QUESTION
Front
How do you find the zeros of a polynomial given one factor?
Back
To find the zeros of a polynomial given one factor, set the factor equal to zero and solve for x. For example, if (x - 3) is a factor, set x - 3 = 0, which gives x = 3 as a zero.
Tags
CCSS.HSF-IF.C.7C
3.
FLASHCARD QUESTION
Front
What does it mean if P(c) = 0 for a polynomial P(x)?
Back
If P(c) = 0, then x - c is a factor of the polynomial P(x). This means that c is a root or zero of the polynomial.
Tags
CCSS.HSA.APR.B.2
4.
FLASHCARD QUESTION
Front
How many total roots can a polynomial of degree n have?
Back
A polynomial of degree n can have up to n roots, counting multiplicities.
5.
FLASHCARD QUESTION
Front
What is the relationship between the factors and zeros of a polynomial?
Back
The factors of a polynomial correspond to its zeros. If x - r is a factor, then r is a zero of the polynomial.
Tags
CCSS.HSF-IF.C.7C
6.
FLASHCARD QUESTION
Front
What is synthetic division and when is it used?
Back
Synthetic division is a simplified form of polynomial long division used to divide a polynomial by a linear factor of the form (x - c). It is used to find zeros and simplify polynomials.
Tags
CCSS.HSA.APR.D.6
7.
FLASHCARD QUESTION
Front
What is the Factor Theorem?
Back
The Factor Theorem states that if P(c) = 0 for a polynomial P(x), then (x - c) is a factor of P(x).
Tags
CCSS.HSA.APR.B.2
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