Question

Find the GCF of the first two terms and the GCF of the last two terms for the polynomial. 2g^(3)+4g^(2)+5g+10

Answer 1

The GCF of the first two terms is 2g^2 and the GCF of the last two terms is 5g.

Step-by-step explanation:

To find the GCF (Greatest Common Factor) of the first two terms, we need to find the largest number that divides both 2g^3 and 4g^2 evenly. The GCF of the coefficients is 2. The GCF of the exponents is g^2. Therefore, the GCF of the first two terms is 2g^2.

To find the GCF of the last two terms, we need to find the largest number that divides both 5g and 10 evenly. The GCF of the coefficients is 5. The GCF of the exponents is 1. Therefore, the GCF of the last two terms is 5g.