Which binomial expressions are factors of 2x^3+5x^2-x-6? I appreciate any help, thanks! :)
Mathematics · High School · Tue Nov 03 2020
llm
Answered on
We have,
2x³ +5x² -x -6
2x³ + 7x² + 6x - 2x² -7x - 6
x(2x² + 7x + 6) - 1(2x² + 7x + 6)
(x-1)(2x² + 7x + 6)
(x-1)(2x² + 4x + 3x + 6)
(x-1)(2x(x + 2) + 3(x + 2)
(x-1)(2x(x + 2) + 3(x + 2))
(x-1)(2x+3)(x+2)
Hence, factors of 2x³ +5x² -x -6 are (x-1)(2x+3)(x+2).