Question

if x-2 is a factor of x2 +3 ax -2a then find find a​

Answer 1

Answer:

a=1

Explanation:

Let P(x)=x

2

+3ax−2a

Given, (x−2) is a factor of P(x)

x−2=0

x=2

∴P(2)=0

⇒2

2

+3a(2)−2a=0

⇒4+4a=0

⇒a=−1

Answer 2

Answer:

a = -1

Explanation:

x-2 is a factor of x^2 + 3ax - 2a

x-2 = 0

x = 2

Therefore, 2^2 + 3*2a - 2a = 0

                  4 + 6a - 2a = 0

                  4 + 4a = 0

                  4a = -4

                  a = -4/4

                  a = -1