Question

if x - 2 is a factor of x^2+ 3ax- 2a, then a equal to what

Answer 1

hey there here is your answer..........,

First I want to tell my opinion that your question may has a correction to do.If your intuition is to give a quadratic equation in the problem,then you have to modify your question. It's because the expression you have given in the question is not a quadratic equation.It is just a polynomial of degree 2 or just simply a quadratic polynomial.If you want change a polynomial into a equation then you have equate it to "0". that's when it becomes an equation.
x^2 + 3ax - 2a = 0 is a quadratic equation now.
If (x - 2) is a factor of given equation then
x - 2 = 0
x = 2
sub in equation
${x}^{2} + 3ax - 2a = 0 \\ {2}^{2} + 3a(2) - 2a = 0 \\ 4 + 6a - 2a = 0 \\ 4 + 4a = 0 \\ 4(1 + a) = 0 \\ 1 + a = 0 \\ a = - 1$
hope you can learn from me ......