Question

If (x + a) is a factor of the polynomial 2x²+ 2ax + 5x +10, find the value
of a.​

Answer 1

Answer:

110

Step-by-step explanation:

2x2+2x5x+10

Sana makatulong:)

Answer 2

Answer: a=2

Step-by-step explanation:

Factor $2x^{2} +2ax$ and $5x+10$

Factor out the GCF of $2x^{2} +2ax$: $2x(x+a)$

Factor out the GCF of $5x+10$: $5(x+2)$

The "x+something" factor needs to be the same in both. Therefore, x+a=x+2, and a=2.

To check your work:

Plug a=2 back into the initial expression:

$2x^{2} +2(2)(x)+5x+10$

Simplify:

$2x^{2} +4x+5x+10$

Factor by grouping:

$2x(x+2)+5(x+2)$

$(2x+5)(x+2)$

We find that (x+2) is a factor of the polynomial, so a=2 is correct.