Question

If ( x+a) is a factor of the polynomial 2x square + 2 ax + 5 x + 10, find the value of a

Answer 1

Hi friend!!

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

So, -a satisfies the equation 2x²+2ax+5x+10=0

2(-a)²+2a(-a)+5(-a)+10=0

2a²-2a²-5a+10=0

5a=10

a=2

I hope this will help you;)

Answer 2

Since (x+a) is a factor
So, x+a=0
x=-a
Now,
Put x= - a
2x^2 + 2ax + 5x + 10 = 0
- 2a^2 - 2a^2 - 5a + 10 = 0
5a = 10
a = 2