If (X + A) is a factor of the polynomial 2x² + 2ax + 5x + 10,find the value of a
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Answer:
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
Step-by-step explanation:
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