Question

Q6) If x-2 is a factor of x² + 3ax -2a , then a = ---
a) 2 b)-2 c)1 d) -1​

Answer 1

Answer:

d)-1

Step-by-step explanation:

x-2=0

x= 2

x^2+3ax-2a =0

(2)^2+3(2)a-2a =0

4+6a -2a =0

4a =-4

a= -4/4

a= -1

Answer 2

Step-by-step explanation:

x-2 is a factor

x=2 is a solution

f(x)=x²+3ax-2a

f(2)=0. since 2 is a solution (factor theorem)

therefore

2²+3*a*2-2*a=0

4+6a-2a=0

4+4a=0

a= : -1

to check put a =-1 in. f(x)

and solve using quadratic formula or splitting the middle term method