Question

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

Answer 1

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

Answer 2

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/