How do you simplify x3+5x2−5x+8x−3?
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.
Feb 22, 2018
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
=x2+8x+19+65x−3