Question

2(z+12)³+(z+12)⁵

2(z + 12)3 + (z + 12,5 What is the greatest common factor of the polynomial? Select the correct choice below and fill in any answer boxes within O A. The GCF of the polynomial is - O B. The polynomial cannot be factored. GG

Answer 1

The calculation should be done for searching the highest common factor in the polynomial function by which such function could be completely divided and there would be no remainder.

Given,

2(Z + 12)^3 + (Z + 12)^5

Now, by rearranging, (each power indicates that time of appearing)

2 × (Z + 12) × (Z + 12) × (Z + 12) + (Z + 12) × (Z + 12) × (Z + 12) × (Z + 12) × (Z + 12)

Now, common factors should be taken

(Z + 12) × (Z + 12) × (Z + 12) [2 + (Z + 12) × (Z + 12)]

Again by rearranging,

(Z + 12)^3 [2 + (Z + 12)^2]

Therefore, GCF is (Z + 12)^3 (Answer)