How do you simplify #\frac { x ^ { 3} + 4x ^ { 2} - 3} { x + 1}#?
1 Answer
Jun 13, 2018
Explanation:
#"consider the numerator"#
#"note that "(-1)^3+4(-1)^2-3=0#
#"thus "(x+1)" is a factor"#
#"divide by "(x+1)" to obtain quotient"#
#x^2(x+1)+3x(x+1)-3(x+1)+0#
#x^3+4x^2-3=(x+1)(x^2+3x-3)#
#(x^3+4x^2-3)/(x+1)#
#=(cancel((x+1))(x^2+3x-3))/cancel(x+1)=x^2+3x-3#
