Question

express the product (2x-1) (3x+4) as a trinomial

Answer 1

Remember FOIL?

To solve this out, multiple the First terms, then the Outer terms, then the Inner terms, then the Last terms.

So:

First Terms: \[2x \times3x=6x ^{2}\]

Outer Terms: \[2x \times4=8x\]

Inner Terms: \[-1\times3x=-3x\]

Last Terms: \[-1\times4=-4\]

Now just combine them all:
\[6x ^{2}+8x-3x-4\]

Combine the like terms!
\[6x ^{2}+5x-4\]

A trinomial is a polynomial with three terms, and that above expression has three terms, so it must be your answer. Hope I was helpful!