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

1.	If x+a is a factor of 2x+2ax+5x+10
Answer» Here the given polynomial f(x)=2x2 + 2ax + 5x +10If x+a is a factor of f(x) then x+a=0 or x = -a{tex}\\Rightarrow{/tex}f(-a) = 0{tex}\\Rightarrow{/tex}2(-a)2 + 2a.(-a) + 5(-a) + 10 =0{tex}\\Rightarrow{/tex}2a2 - 2a2 -5a +10 =0{tex}\\Rightarrow{/tex}-5a = -10{tex}\\Rightarrow{/tex}a=2.

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