Synthetic Division Review

Synthetic Division Review

Assessment

Flashcard

Mathematics

12th Grade

Hard

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

Standards-aligned

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15 questions

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1.

FLASHCARD QUESTION

Front

What is synthetic division?

Back

Synthetic division is a simplified method of dividing a polynomial by a linear binomial of the form (x - c). It is faster than long division and is used primarily for polynomials.

Tags

CCSS.HSA.APR.D.6

2.

FLASHCARD QUESTION

Front

What does it mean if the remainder is zero in synthetic division?

Back

If the remainder is zero, it indicates that the linear binomial (x - c) is a factor of the polynomial.

Tags

CCSS.HSA.APR.D.6

3.

FLASHCARD QUESTION

Front

How do you determine the remainder when dividing a polynomial by (x - c)?

Back

To find the remainder, substitute c into the polynomial. The result is the remainder.

Tags

CCSS.HSA.APR.B.2

4.

FLASHCARD QUESTION

Front

What is the significance of using a zero placeholder in synthetic division?

Back

A zero placeholder is used to represent missing terms in the polynomial, ensuring that the degrees of the terms align correctly during the division process.

Tags

CCSS.HSA.APR.D.6

5.

FLASHCARD QUESTION

Front

If f(x) = x^3 - 4x + 1, what is f(2)?

Back

f(2) = 2^3 - 4(2) + 1 = 8 - 8 + 1 = 1.

Tags

CCSS.HSF.IF.A.2

6.

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

7.

FLASHCARD QUESTION

Front

What is the relationship between synthetic division and the Remainder Theorem?

Back

The Remainder Theorem states that the remainder of the division of f(x) by (x - c) is f(c). Synthetic division is a method to compute this remainder.

Tags

CCSS.HSA.APR.B.2

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