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Hello,if the polynomial X2+ax2+5 and x2-2x2+a are divided by (x+2) leave the same remainder, find the value of a

Answer»

Heya!!☻

Here's your answer!!!
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Let the GIVEN polynomial be f(x) = x²+ax²+5

g(x) = x²-2x²+a

Given that when f(x) and y(x) are DIVIDED by the (x+2) we get the same remainder.

That is f(2) = g(2)

PUT x=2 in both f(x) and g(x)

(2)²+a(2)²+5 = (2)²-2(2)²+a

4+ 4a+5 = -4-8+a
9+4a = 13+a
3a = -13
so, a = 13/3
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