Factoring Expressions

Tawanna is asked to find the GCF of each term in the expression 2ab+8b. Her work is shown below. Factors of 2ab: 1, 2, a, and b Factors of 8b: 1, 2, 4, 8, and b GCF: Which best describes the error in Tawanna's solution?

Tawanna should have used each common factor once.

Juan is rewriting the expression 12d-26c as a product. Which statements about the expression are accurate and relevant to his rewriting the expression? Select two options.

1. The GCF of the numbers in each term in the expression is 2. 2. The factored expression is 2(6d-13c).

The greatest common factor of each term in the expression 60ab-72b is 12b. Which choice shows the expression written as a product?

12b(5a-6)

The factors of each term in the expression 8x + 12xy are shown below. 8x: 1, 2, 4, 8, x 12xy: 1, 2, 3, 4, 6, 12, x, y What is the greatest common factor of 8x and 12xy?

4x

An equilateral triangle has a perimeter of 12x+18 units. Which expression can be used to show the length of one side of the triangle? : Each side length is 4x+6 units. Which expression is equivalent to -28xy+35y?

7y(-4x+5)

What is the greatest common factor of the terms in the expression 36a+54ab-27b?

9

Monique is factoring the expression 4x+16xy. Her work is shown below. Factors of 4x: 1, 2, 4, x Factors of 16xy: 1, 2, 4, 8, 16, x, y GCF: 4x Factored expression: 4x(0+4y) Which best describes the accuracy of Monique's solution?

Monique made an error when writing the factored expression.

Venita is factoring the expression 32ab-8b. She determines the GCF and writes the factored expression as 8b(4a-0). Which best describes Venita's error?

She subtracted the GCF from the second term in the expression instead of dividing.