Question

Factor the GCF from 96x2 + 88x. Use the drop-down menus to complete the statements. The GCF of 96x2 and 88x is . Each term written as a product, where one factor is the GCF, is . The factored form of the expression is

Answer 1

1: The GCF of 96x2 and 88x is: Answer: 8x

2: Each term written as a product, where one factor is the GCF, is: Answer: 8x(12x)+8x(11)

3: The factored form of the expression is: Answer: 8x(12x+11)

Explanation:

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Answer 2

1) Determine the GCF of the numbers 96 and 88

=> Decompose each number in their prime numbers:

=> 96 = (2^5)(3)

=> 88 = (2^3) (11)

=> GCF of 96 and 88 = 2^3 = 8

2) Determine the GCF of the letters, x^2 and x

=> x

3) Conclude the GCF of the terms is 8x

4) Now you can factor the expression by dividing each term by the GCF, 8x:

96 x^2 / (8x) = 12x

88x / (8x) = 11

So, the factored form is (8x) (12x + 11)