Question

Find the value of a and b so that p(x)=x^4-10x^2+ax+b is exactly divisible by (x-1) and (x-2) ???
step by step explanation ​

Answer 1

x3 - 10x2 +ax +b = f(x)

if f (x) is divisible by (x-1) and(x-2)

= f (1)= 1-10+a+b=0 = a+ b = 9

f(2)=8-40+2a+b=0 = 2a +b=

32

a= 23 b = -14