Solving polynomials

Solving polynomials

Assessment

Flashcard

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSA.APR.B.2, HSF-IF.C.7C, HSA.APR.D.6

Standards-aligned

Created by

Wayground Content

FREE Resource

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14 questions

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1.

FLASHCARD QUESTION

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to whole number powers and coefficients. For example, P(x) = 2x^3 - 4x^2 + 3x - 5 is a polynomial.

2.

FLASHCARD QUESTION

Front

What does it mean for a number to be a zero of a polynomial?

Back

A zero of a polynomial is a value of x that makes the polynomial equal to zero. In other words, if P(c) = 0, then c is a zero of the polynomial P.

Tags

CCSS.HSF-IF.C.7C

3.

FLASHCARD QUESTION

Front

How do you find the zeros of a polynomial given a factor?

Back

If you know that (x - c) is a factor of the polynomial P(x), you can find the zeros by performing polynomial long division or synthetic division to divide P(x) by (x - c), and then solving the resulting polynomial for its zeros.

Tags

CCSS.HSA.APR.B.2

4.

FLASHCARD QUESTION

Front

What is the Remainder Theorem?

Back

The Remainder Theorem states that when a polynomial f(x) is divided by (x - c), the remainder of that division is equal to f(c).

Tags

CCSS.HSA.APR.B.2

5.

FLASHCARD QUESTION

Front

What is synthetic division?

Back

Synthetic division is a simplified form of polynomial long division that is used specifically for dividing a polynomial by a linear factor of the form (x - c).

Tags

CCSS.HSA.APR.D.6

6.

FLASHCARD QUESTION

Front

What is the Factor Theorem?

Back

The Factor Theorem states that (x - c) is a factor of the polynomial P(x) if and only if P(c) = 0.

Tags

CCSS.HSA.APR.B.2

7.

FLASHCARD QUESTION

Front

How do you list the zeros of a polynomial function?

Back

To list the zeros of a polynomial function, factor the polynomial completely, set each factor equal to zero, and solve for x.

Tags

CCSS.HSF-IF.C.7C

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