Question

let R1 and R2 be the remainder when the polynomial p( x )= x raise to power 3+ X raised to power 2 - 5 k x - 7 and q (x) = X raise to power 3 + kx raise to power2- 12 x + 6 divided by X + 1 and X - 2 respectively find the value of k if 2r1 or r2 =10

Answer 1

In x^3+x^2-5kx-7, x+1=0 then x=-1
now putting value of -1

-1+1+5k-7=r1
k=5+7(r1=5)
k=12