How do you multiply 3 ( x − 7 ) ( x + 2 ) ( 2 x − 1 ) ?

1 Answer
Sep 21, 2015

=6x^3-33x^2-69x+42

Explanation:

There's really no shortcut to this. You will have to multiply each factor one by one. I suggest you multiply the factor 3 last since that's the easiest. Start with any two from the three binomial factors.

3(x-7)(x+2)(2x-1)
=3(x-7)(2x^2+4x-x-2)
=3(x-7)(2x^2+3x-2)
=3(2x^3+3x^2-14x^2-2x-21x+14)
=3(2x^3-11x^2-23x+14)

Final Answer
=6x^3-33x^2-69x+42