Question

find value of A if x+a is a factor of polynomial 2xsquare +2ax+5x+10​

Answer 1

Given, x + a is a factor of the the polynomial 2x² + 2ax + 5x + 10

Since x + a is a factor, so it will satisfy the above polynomial.

Now, put x + a = 0

=> x = -a in the polynomial, we get

    2(-a)2 + 2a(-a) + 5*(-a) + 10 = 0

=> 2a2 - 2a2 - 5a + 10 = 0

=> -5a + 10 = 0

=> 5a = 10

=> a = 10/5

=> a = 2

So, the value of a is 2