Question

Find the values for a and b that would make the equality true.

-3(2x2 + ax + b) = –6x2 + 12x – 15
a =
b=

Answer 1

a = - 4, b = 5

Explanation:

Expand the left side and compare the coefficients of like terms on the right side.

- 3(2x² + ax + b)

= - 6x² - 3ax - 3b

Comparing like terms with - 6x² + 12x - 15

x - term → - 3a = 12 ( divide both sides by - 3 )

a = - 4

constant term → - 3b = - 15 ( divide both sides by - 3 )

b = 5