Question

What should be subtracted from the polynomial of p(x)= x 2 – 3 a x + 3 a – 7 so that , (x + 2) is a

factor of the polynomial p(x) and hence also find the value of a​

Answer 1

1

Since x+1 is a factor of the polynomial p(x)=x

2

−3ax+3a−7

Therefore, by Factor theorem p(−1)=0

⇒(−1)

2

−3a(−1)+3a−7=0

⇒1+3a+3a−7=0⇒a=1