Remainder Theorem & Factor Theorem

Remainder Theorem & Factor Theorem

Assessment

Flashcard

Mathematics

10th - 12th Grade

Hard

CCSS
HSA.APR.B.2, HSA.APR.D.6, HSF.IF.A.2

Standards-aligned

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the Remainder Theorem?

Back

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

Tags

CCSS.HSA.APR.B.2

2.

FLASHCARD QUESTION

Front

What is the Factor Theorem?

Back

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

Tags

CCSS.HSA.APR.B.2

3.

FLASHCARD QUESTION

Front

How do you find the remainder of a polynomial when divided by a linear factor?

Back

To find the remainder of a polynomial f(x) when divided by (x - c), evaluate f(c).

Tags

CCSS.HSA.APR.B.2

4.

FLASHCARD QUESTION

Front

What is the significance of the Remainder Theorem in polynomial division?

Back

The Remainder Theorem allows us to quickly find the remainder without performing full polynomial long division.

Tags

CCSS.HSA.APR.B.2

5.

FLASHCARD QUESTION

Front

If P(x) = 2x^4 + x^3 - 3x^2 - x - 15, what is P(2)?

Back

P(2) = 11.

Tags

CCSS.HSF.IF.A.2

6.

FLASHCARD QUESTION

Front

Is (x - 3) a factor of the polynomial x^3 - 3x^2 + 2x + 2?

Back

No, (x - 3) is not a factor.

Tags

CCSS.HSA.APR.B.2

7.

FLASHCARD QUESTION

Front

What is the result of dividing 3x^3 - 5x^2 - 4x + 1 by (x + 3)?

Back

The remainder is -113.

Tags

CCSS.HSA.APR.B.2

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