# How do you express the product (2x-1)(3x+4) as a trinomial?

Jun 6, 2018

$6 {x}^{2} + 5 x - 4$

#### Explanation:

The problem of a binomial times a binomial is like multiplying a two digit number times a two digit number.

Set it up as two by two matrix.

$$ ...... 2x           -1


3x .. $6 {x}^{2}$........ -3x

+4 ..... +8x ......... -4
+
Combining the like terms of - 3x and + 8x gives +5x

So the trinomial is $6 {x}^{2} + 5 x - 4$