# How do you multiply (2x-1)(x^3-2x^2+3x-4)?

Feb 5, 2015

Distribute the 2x to each number in (${x}^{3} - 2 {x}^{2} + 3 x - 4$)
$2 {x}^{4} - 4 {x}^{3} + {x}^{2} - 8 x - {x}^{3}$
Distribute the -1 to each number in (${x}^{3} - 2 {x}^{2} + 3 x - 4$)
$+ 2 {x}^{2} - 3 x + 4$
Put them together
$2 {x}^{4} - 4 {x}^{3} + {x}^{2} - 8 x - {x}^{3} + 2 {x}^{2} - 3 x + 4$
Simplify
$2 {x}^{4} - 5 {x}^{3} + 3 {x}^{2} - 11 x + 4$
I hope this helps!

Feb 5, 2015

Another way to solve this problems is to multiply by using a multiplication array. I could not figure out how to show the steps in writing so I made a video.
http://www.frontporchmath.com/topic/multiplying-polynomials-example/