Question

problem 3
factor out the greatest common factor in the following polynomial.

$10x^2 + 25x + 15 = \square$

check

Explanation:

Step1: Find GCF of coefficients

Find GCF of 10, 25, 15. Factors of 10: 1,2,5,10; 25:1,5,25; 15:1,3,5,15. GCF is 5.

Step2: Factor out GCF

Divide each term by 5: \( \frac{10x^2}{5} + \frac{25x}{5} + \frac{15}{5} = 2x^2 + 5x + 3 \). So factor out 5: \( 5(2x^2 + 5x + 3) \)

Answer:

\( 5(2x^2 + 5x + 3) \)