Question

If (x + a) is a factor of 2x2 + 2ax + 5x + 10 find a.

Answer 1

Answer:

The value of a is termed to be 2.

Step-by-step explanation:

Given that

2x²+2ax+5x+10

Divide the 2x²+2ax+5x+10 by x+a

By using the division method, we get the remainder as 10-5a

10-5a=0

5a=10

.•. a=2

Another method,

We can also find the value of a by this method,

Let x+a=0

x=-a

substitute the value of x in the given equation,

2x²+2ax+5x+10=0

2(-a)²+2a(-a)+5(-a)+10=0

2a²-2a²-5a+10=0

-5a+10=0

-5a=-10

5a=10

a= 10/5

a = 2

Thus, we can find the value of a=2 in this method also.