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

2 Answers
Kelsey D.
Feb 5, 2015

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!

Lea
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/

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