Chapter 8.8, Problem 10PPE

To determine

To find:The GCF of the first two terms and the GCF of the last two terms of $10g^3-25g^2+4g-10$

Answer to Problem 10PPE

  $5g^2,2$

Explanation of Solution

Given information:The expression $10g^3-25g^2+4g-10$

Calculation:

The prime factors of first two terms of the polynomial are,

  $\begin{array}{l}10g^3=2\cdot 5\cdot g\cdot g\cdot g\\ 25g^2=5\cdot 5\cdot g\cdot g\end{array}$

The GCF of first two terms is $5\cdot g\cdot g\text{ or }5g^2$ .

The prime factors of last two terms of the polynomial are,

  $\begin{array}{l}4g=2\cdot 2\cdot g\\ 10=2\cdot 5\end{array}$

The GCF of first two terms is $2$ .