Question

Ifa polynomial f(x) is divided by xpower2-16 then remainder is 5x+3, what will be
the remainder when the same polynomial is divided by (x+4)?​

Answer 1

Step-by-step explanation:

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Therefore, remainder=5x+3

Divisor=x^2-16

Therefore, dividend=f(x) =(x^2-16)(1)+(5x+3)

=x^2-16+5x+3

=x^2+5x-13

Therefore,f(x)=x^2+5x-13

Now, x+4=0

=>x=-4

Therefore remainder

f(-4)=(-4)^2+5(-4)-13

=16-20-13

=-17 (answer)

Answer 2

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