# If (X + A) is a Factor of 2x2 + 2ax + 5x + 10, Find A. - Mathematics

Short Note
Sum

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

#### Solution

Given  (x + a) is a factor of f(x) = 2x^2 + 2ax + 5x + 10.

Let us now divide  f(x) by x + a .

We have,

Now, remainder = 0

 10 - 5a = 0

 10 = 5a

10/5=a

2 =a

Hence, the value of a is  2 .

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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 2 Polynomials
Q 28 | Page 60