Question

if the polynomials x^3+3x^2-m and 2x^3-mx+9 leave the same remainder when they are divided by (x-2),then find the value of m and remainder.​

Answer 1

Given that remainders of p(x) and f(x) are equal.

》 20 - m = 25 - 2m

》 -m + 2m = 25 - 20

》 m = 5.

remainder = 20 - m = 20 - 5 = 15.

(or)

remainder = 25 - 2m = 25 - 2(5) = 25 - 10 = 15.

therefore,

m = 5,

remainder = 15.