Q13 of 113 Page 61

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


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