Question

If ( + 1) is a factor of 2 − 3 + 3 − 7, then find the value of .

Answer 1

Answer:

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