How do you simplify x3+5x25x+8x3?

2 Answers
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+5x25xx3=(x2+8x+19)+65x3

Feb 22, 2018

x2+8x+19+65x3

Explanation:

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

consider the numerator

x2(x3)+3x2+5x25x+8

=x2(x3)+8x(x3)+24x5x+8

=x2(x3)+8x(x3)+19(x3)+57+8

=x2(x3)+8x(x3)+19(x3)+65

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

>x3+5x25x+8x3

=x2+8x+19+65x3