Factor the polynomial 12c9 + 28c7. Find the GCF of 12c9 and 28c7. 4c7 Write each term as a product, where one factor is the GCF. 4c7 (3c2) + 4c7 (7) Use the distributive property. What is the resulting expression? 4 (3c9 + 7c7) 4c7 (3c2 + 7) 4c7 (3c9 + 7c7) 4c7 (12c9 + 28c7)

Question

Hailie Bright

Mathematics

1 May, 07:04

Factor the polynomial 12c9 + 28c7. Find the GCF of 12c9 and 28c7. 4c7 Write each term as a product, where one factor is the GCF. 4c7 (3c2) + 4c7 (7) Use the distributive property. What is the resulting expression? 4 (3c9 + 7c7) 4c7 (3c2 + 7) 4c7 (3c9 + 7c7) 4c7 (12c9 + 28c7)

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Amelia Johnson · Answer 1

We are asked in the problem to determine the factored form of a polynomial given the expression 12c9 + 28c7 by finding the GCF. GCF or the greatest common factor is the greatest number (including variable if applicable) that is divisible to the terms included in the polynomial. In this case, the GCF of 12 and 28 is 4 while the GCF of c9 and c7 is c7. We multiply both GCFs from the variable and numerical side.

Hence the complete GCF is 4c7. In this case, the factored form of the polynomial using the GCF is 4c7 (3c2 + 7). The answer to this problem is B.