Question

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

Answer 1

Answer:

Solution

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Let the quotient be q(x)

f(x)=(x

2

−16)+(5x+3)

(x+4)

f(x)

=

x+4

(x+4)(x−4)

q(x)+

x+4

5x+3

Remainder=Remainder when 5x+3 is divided by x+4

=5(−4)+3=−17