Question

find the value of a and b so that the polynomial x3 -4x2+ax+b is exactly divisible by x-2 as well as x+1​

Answer 1

Answer:a=1 & b =6

Step-by-step explanation:

P(x)=x^3-4x^2+ax+b

Let x=2 & x= -1

P(2)=8-16+2a+b

0== -8+2a+b

Therefore, 2a+b=8_____eqn1

P(--1)= --1---4--2a+b

0==-5-a+b

Therefore, a-b= —5______eqn2

Using eqn 1&2

a=1. & b=6