Factor Theorem

Factor Theorem

Assessment

Flashcard

Mathematics

10th Grade

Practice Problem

Hard

CCSS
HSA.APR.B.2, HSF-IF.C.7C, HSA.APR.B.3

+1

Standards-aligned

Created by

Wayground Content

Used 1+ times

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the Factor Theorem?

Back

The Factor Theorem states that a polynomial f(x) has a factor (x - c) if and only if f(c) = 0.

Tags

CCSS.HSA.APR.B.2

2.

FLASHCARD QUESTION

Front

How do you determine if (x - 2) is a factor of f(x) = x^3 + 4x^2 + x - 6?

Back

Evaluate f(2). If f(2) = 0, then (x - 2) is a factor. Here, f(2) = 20, so (x - 2) is not a factor.

Tags

CCSS.HSA.APR.B.2

3.

FLASHCARD QUESTION

Front

What does it mean if a polynomial has a root at x = c?

Back

It means that (x - c) is a factor of the polynomial.

Tags

CCSS.HSA.APR.B.2

4.

FLASHCARD QUESTION

Front

What is a sign chart used for?

Back

A sign chart is used to determine the intervals where a polynomial is positive or negative.

5.

FLASHCARD QUESTION

Front

If f(x) = (x - 4)(x - 1)^2(x + 2)(x + 4), what are the roots?

Back

The roots are x = 4, x = 1 (with multiplicity 2), x = -2, and x = -4.

Tags

CCSS.HSF-IF.C.7C

6.

FLASHCARD QUESTION

Front

What is the end behavior of a polynomial?

Back

The end behavior describes how the values of the polynomial behave as x approaches positive or negative infinity.

7.

FLASHCARD QUESTION

Front

True or False: If f(4) ≠ 0, then (x - 4) is not a factor of f(x).

Back

True.

Tags

CCSS.HSA.APR.B.2

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