Question

(c) x2 - ax -bx + ab is divisible by
a) Verify if 2x – 1 is a factor of 6x2 – x2–5x + 2.
ris a factor of 5x2 -21% +10.
ifyif 2​

Answer 1

Step-by-step explanation:

x

3

−10x

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

f(2)=8−40+2a+b=0⇒2a+b=32

∴a=23 b=−14