480,137 views
7 votes
7 votes
(2x + 3)(x – 5) + 7 = ax² + bx + c What is the value of a, b, and c?

User Johns Mathew
by
2.4k points

1 Answer

14 votes
14 votes

Answer:

a = 2 , b = - 7 , c = - 8

Explanation:

expand and simplify the left side then compare the coefficients of like terms on both sides.

(2x + 3)(x - 5) + 7 ← expand factors using FOIL

= 2x² - 10x + 3x - 15 + 7 ← collect like terms

= 2x² - 7x - 8

compare to ax² + bx + c , then

a = 2, b = - 7 , c = - 8

User Chanda Korat
by
2.5k points