If (x +
a.is a factor of 2x 2 +2ax +5x +10, find
a.
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Divide (x + a) in the given p(x)
2 x + 5
_ _ _ _ _ _ _ _ _ _ _ _ _
x + a I 2 x² + 2 a x + 5 x + 10
I 2 x² + 2 a x
I (-) (-)
I ------------------------------
I 0 + 5 x + 10
I 5 x + 5 a
I (-) (-)
I ------------------------------
I 0 + 10 - 5 a
As (x + a) is factor then, r(x) = 0
10 - 5 a = 0
10 = 5 a ⇒ a = 2
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2 x + 5
_ _ _ _ _ _ _ _ _ _ _ _ _
x + a I 2 x² + 2 a x + 5 x + 10
I 2 x² + 2 a x
I (-) (-)
I ------------------------------
I 0 + 5 x + 10
I 5 x + 5 a
I (-) (-)
I ------------------------------
I 0 + 10 - 5 a
As (x + a) is factor then, r(x) = 0
10 - 5 a = 0
10 = 5 a ⇒ a = 2
__________________________________________________________
☺☺☺ Hope this Helps ☺☺☺
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