How do you find the quotient of (x^3-43x+42) divided by (x^2+6x-7)?
1 Answer
Jan 17, 2018
Explanation:
#"factorise numerator/denominator"#
#x^3-43x+42#
#=x^2(x-1)+x(x-1)-42(x-1)#
#=(x-1)(x^2+x-42)=(x-1)(x+7)(x-6)#
#x^2+6x+7=(x+7)(x-1)#
#rArr(x^3-43x+42)/(x^2+6x-7)#
#=(cancel((x-1))cancel((x+7))(x-6))/(cancel((x+7))cancel((x-1)))=x-6#
