Question

find a and b if polynomial x^2-10x^2+ax if divided by x+2 and x-1​

Answer 1

Step-by-step explanation:

x^3

−10x^2

+ax+b=f(x)

+ax+b=f(x) if f(x) is divisible by (x−1) and (x−2)

+ax+b=f(x) if f(x) is divisible by (x−1) and (x−2) ⇒f(1)=0=f(2)

+ax+b=f(x) if f(x) is divisible by (x−1) and (x−2) ⇒f(1)=0=f(2) f(1)=1−10+a+b=0⇒a+b=9

+ax+b=f(x) if f(x) is divisible by (x−1) and (x−2) ⇒f(1)=0=f(2) f(1)=1−10+a+b=0⇒a+b=9 f(2)=8−40+2a+b=0⇒2a+b=32

+ax+b=f(x) if f(x) is divisible by (x−1) and (x−2) ⇒f(1)=0=f(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