If (x + a) is a factor of (2x2 + 2ax + 5x + 10), find the value of a.
It is given in the question that,
(x + 4) is a factor of 2x2 + 2ax + 5x + 10
Now, we have
x + a = 0
x = - a
As (x + a) is a factor of 2x2 + 2ax + 5x + 10
Thus, it will satisfy the given polynomial
∴ 2 (- a)2 + 2a (- a) + 5 (- a) + 10 = 0
- 5a + 10 = 0
a = 2