Express the product (2x - 3)(x - 2) as a trinomial

Question

Algebra homework                                                                                  

Answer 1

(2x - 3) (x - 2)

Each parenthesis has a binomial ---> two numbers 

1. Note that whenever you have two parenthesis next to each other like this, it implies factoring. So let's factor.

        2x² - 4x - 3x + 6

        We get a quartnomial (containing 4 numbers)...but we're looking for a trinomial. Can this reduce?

2. Yea, so we reduce

        2x² - 7x + 6

        There you go, this is a trinomial. 

Answer 2

Hi Frank,

Just use the FOIL method. FOIL stands for First, Outer, Inner, Last. You will add the results of each piece, keeping in mind that a subtraction sign should be seen as adding a negative. So you have:

First: 2x times x

Outer: 2x times -2

Inner: -3 times x

Last: -3 times -2

Add all these together to get 2x^2+ -4x+ -3x+6

or 2x^2-4x-3x+6

simplified to 2x^2-7x+6!