Factor. 3x2 + 20x + 25

(3 x + 5) (x + 5)

Step-by-step explanation:

Factor the following:

3 x^2 + 20 x + 25

Hint: | Factor 3 x^2 + 20 x + 25 by finding factors of 3×25 whose sum is 20.

Factor the quadratic 3 x^2 + 20 x + 25. The coefficient of x^2 is 3 and the constant term is 25. The product of 3 and 25 is 75. The factors of 75 which sum to 20 are 5 and 15. So 3 x^2 + 20 x + 25 = 3 x^2 + 15 x + 5 x + 25 = 5 (3 x + 5) + x (3 x + 5):

5 (3 x + 5) + x (3 x + 5)

Hint: | Factor common terms from 5 (3 x + 5) + x (3 x + 5).

Factor 3 x + 5 from 5 (3 x + 5) + x (3 x + 5):

(3 x + 5) (x + 5)