Question

If (x-1) is a factor of the second degree polynomial p(x)=ax2+bx+c and p(0)=-5
A) what is the value of c
B) prove that a+b=5
C) write a second degree polynomial whosr one factor is (x-1)

Answer 1

Answer:

P(1)=0

⇒x=1

⇒x−1=0

P(−2)=0

⇒x=−2

⇒x+2=0

From (1) and (2), we get,

∴(x−1)(x+2)=0

x

2

+2x−x−2=0

x

2

+x−2=0