Question #a62eb

1 Answer
Mar 8, 2017

Answer:

#5x^4 - 5x^3 - 10x^2#

Explanation:

Create the factors that make the equation = #0#
#(x-2)(x+1) = x^2 - x - 2 = 0#

To get the leading term to #= 5x^4#, multiply the factors by #5x^2# since we already have an #x^2#, remembering that #x^m x^n = x^(m+n)#:

#5x^2(x-2)(x+1) = 5x^2 (x^2 - x - 2 ) = 5x^4 - 5x^3 - 10x^2#