Question

By actual division and by using remainder theorem, find the remainder when
f(x) = x3 -4x2 +2x +7 is divided by g(x) and verify that remainders in both cases are same.

Answer 1

Answer :-

Given f ( x ) = x ³ − 5x ² + 7 and divisor is

x + 2 .

We put x + 2 = 0

∴ x = −2 .

According to remainder theorem ,

If f ( x ) is divided by x − a , the remainder will be f ( a ) .

Here , a = −2 .

∴ f ( −2 ) = ( −2 ) ³ − 5 ( −2 ) ² +7 = −21

Answer 2

Answer:

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