SOLUTION: When (8x+6) is multiplied by (ax+b), the result is 32x^2 - 40 - 48. Find the value of a and b. Thank you:)

Algebra ->  Equations -> SOLUTION: When (8x+6) is multiplied by (ax+b), the result is 32x^2 - 40 - 48. Find the value of a and b. Thank you:)      Log On


   

Question 1129278: When (8x+6) is multiplied by (ax+b), the result is 32x^2 - 40 - 48. Find the value of a and b. Thank you:)
Found 2 solutions by MathLover1, MathTherapy:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
here 32x%5E2+-+40+-+48 you probably have 32x%5E2+-+40x+-+48

%288x%2B6%29%28ax%2Bb%29=32x%5E2+-+40x+-+48

8ax%5E2%2B8xb%2B6ax%2B6b=32x%5E2+-+40x+-+48

8ax%5E2%2B%288b%2B6a%29x%2B6b=32x%5E2+-40x+-+48.......compare coefficients
8a=32
a=32%2F8
a=4

%288b%2B6a%29=40
8b%2B6%2A4=40
8b%2B24=40
8b=40-24
8b=16
b=16%2F8
b=2

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

When (8x+6) is multiplied by (ax+b), the result is 32x^2 - 40 - 48. Find the value of a and b. Thank you:)
Correct answer: highlight_green%28matrix%282%2C3%2C+a%2C+%22=%22%2C+4%2C+b%2C+%22=%22%2C+-+8%29%29

ACCEPT NO OTHER answer!!