If-x-3-is-the-common-factor-of-the-expressions-ax-2-bx-1-and-px-2-qx-3-then-9a-3p-3b-q-

Question Number 37462 by bholachaudhary211@gamil.com last updated on 13/Jun/18

If x + 3 is the common factor of the

expressions {a x}^{2} + b x + 1 and

{p x}^{2} + q x - 3, then \frac{- (9 a + 3 p)}{3 b + q} =____.

Answered by tanmay.chaudhury50@gmail.com last updated on 13/Jun/18

a {(- 3)}^{2} + b (- 3) + 1 = 0

9 a - 3 b + 1 = 0

9 p - 3 q - 3 = 0 3 p = q + 1

\frac{- (3 b - 1 + q + 1)}{3 b + q}

= - 1