10. If x+a is a factor of 2x2 + 2ax + 5x + 10 , find a.
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Step-by-step explanation:
Given f(x)=2x
2
+2ax+5x+10
g(x)=x+a
x+a=0
x=−a
f(−a)=2(−a)
2
+2a(−a)+5(−a)+10
⇒+2a
2
−2a
2
−5a+10=0
⇒5a=10
⇒a=
5
10
∴a=2
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