Omar grouped the terms and factored the GCF out of the groups of the polynomial 3 x 3 – 15 x 2 – 4 x + 20. His work is shown. Step 1: (3 x 3 – 15 x 2 ) + (–4 x + 20) Step 2: 3 x 2 ( x – 5) + 4(– x + 5) Omar noticed that he does not have a common factor. Which accurately describes what Omar should do next?

Omar should factor out a negative from one of the groups so the binomials will be the same.

Omar should realize that his work shows that the polynomial is prime.

Omar should go back and regroup the terms in Step 1 as (3 x 3 – 15 x 2 ) – (4 x + 20).

In Step 2, Omar should factor only out of the first expression.

Which is true regarding Armando’s use of algebra tiles to represent the product 3x(2x -1) ?

Some of the products do not show the correct powers of x .

He used the algebra tiles correctly.

He did not represent the two original factors correctly.

The signs on some of the products are incorrect.

Regroup Factor Polynomials

Authored by Anthony Clark

Mathematics

9th Grade

CCSS covered

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MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which common factors should be used in the next step of factoring?

x² and −2x

2x² and −2x

x² and −2

2x² and −2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is the greatest common factor of the terms in the polynomial 12x⁴ + 2x³ –30x²?

x²

2x²

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which product of prime polynomials is equivalent to 4x⁵ – 6x⁴ + 4x³ – 6x²?

2x²(x² + 1)(2x – 3)

2x²(x² – 1)(2x + 3)

x²(x² + 1)(2x – 3)

2(x² – 1)(2x + 3)

DRAG AND DROP QUESTION

1 min • 1 pt

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Regroup Factor Polynomials

Which common factors should be used in the next step of factoring?

What is the greatest common factor of the terms in the polynomial 12x4 + 2x3 –30x2?

Which product of prime polynomials is equivalent to 4x5 – 6x4 + 4x3 – 6x2?

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Popular Resources on Wayground

Discover more resources for Mathematics

What is the greatest common factor of the terms in the polynomial 12x⁴ + 2x³ –30x²?

Which product of prime polynomials is equivalent to 4x⁵ – 6x⁴ + 4x³ – 6x²?