Use the grouping method to factor the polynomial below completely. x3-5x2+3x-15

Mathematics · High School · Tue Nov 03 2020

Answered on

Given the equation:

x^3-5x^2+3x-15

Factor the equation.

Solution:

In order to factor the equation, we first group the values into two groups.

= x^3-5x^2+3x-15

= (x^3-5x^2)+ (3x-15)

Factor out the greatest common factor  which is x^2 from the 1st group and 3 from the seconds group.

= x^2 ( x -5 ) + 3 (x - 5)

Final answer:

= x^2 ( x -5 ) + 3 (x - 5)