1.

If x+a is factor of 2x^2+2ax+5x+10 find a

Answer»

Step-by-step EXPLANATION:

CONSIDER the GIVEN polynomial to be represented by p(x)

p(x)=2x²+2ax+5x+10

Given that x+a is a factor of the polynomial.

Note,

If y+m is a factor of a polynomial,then the value of y WOULD be a ZERO of the polynomial

Thus,-a would be a zero of the above polynomial

Implies,

p(x)=p(-a)=0

Now,

p(-a)=2(-a)²+2a(-a)+5(-a)+10

→0=2a²-2a²-5a+10

→10-5a=0

→5a=10

→a=2

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•The polynomial would be:-

p(x)=2x²+4x+5x+10

=2x²+9x+10

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