Factor x2 – 8x + 15. Which pair of numbers has a product of ac and a sum of b?

asked Jan 20, 2021 172k views

5 votes

Factor x2 – 8x + 15.

Which pair of numbers has a product of ac and a sum of b?

4.5k points

Please log in or register to add a comment.

4 votes

Answer:

(x - 5)(x - 3)

Explanation:

${x}^(2) - 8x + 15 \\ = {x}^(2) - 5x - 3x + 15 \\ = x(x - 5) - 3(x - 5) \\ = (x - 5)(x - 3) \\ \\ ac = ( - 5) (- 3) = 15 \\ a + c = - 5 - 3 = - 8$

DavidJBerman answered Jan 27, 2021

5.0k points

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

5.3m questions

6.9m answers