How do you simplify x3+5x2−5x+8x−3?

2 Answers
nightowl
Feb 22, 2018

Use long division to factorise the numerator

Explanation:

Using long division, we divide the numerator by the denominator to give ourselves a quadratic and a remainder.

x3+5x2−5xx−3=(x2+8x+19)+65x−3

Jim G.
Feb 22, 2018

x2+8x+19+65x−3

Explanation:

one way is to use the divisor as a factor in the numerator

consider the numerator

x2(x−3)+3x2+5x2−5x+8

=x2(x−3)+8x(x−3)+24x−5x+8

=x2(x−3)+8x(x−3)+19(x−3)+57+8

=x2(x−3)+8x(x−3)+19(x−3)+65

quotient =x2+8x+19, remainder =65

>⇒x3+5x2−5x+8x−3

=x2+8x+19+65x−3

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