Question

On divided f(x) =2x^3 -5 x^2 +4 x -8 by the g(x) the quoitent and remainder are (2 x-9)& 24 x - 17 find g(x)

Answer 1

Answer:

Step-by-step explanation:

f(x)= 2x^3 -5x^2 + 4x - 8

q(x)= 2x-9

r(x)= 24x-17

now,

f(x)- r(x)] / q(x) = g(x)

2x^3 - 5x^2 + 4x - 8 -(24x - 17) ] / 2x - 9

= 2x^3 - 5x^2 -20x +9 ] / 2x - 9

= x^2 - 2x + 1

so, g(x) = x^2 - 2x - 1