This is the basic and conceptual question from polynomials in which we have given a polynomial (2x²+2ax+5x+10) and x+a is one of the zero of the given polynomial and we have to find the value of a.

Kindly solve the above problem

RS Aggarwal, Class 10, chapter 2C, question no 13

## Given : (x+a) is a factor of 2x²+(2a+5)x+10

which shows that one of the zeroes of the given polynomial is −a

Now, x=−a satisfy the given polynomial

2(−a)²+(2a+5)(−a)+10=0

2a²−2a²−5a+10=0

5a=10

a=2