Math 10 Week 6 – Factoring Trinomials

This week, we learned how to factorize trinomials. In this blog post, I am going to show you the steps and tricks you can use.

Expanding an equation is finding the answer by multiplying the two monomials together. But what happens when we go backwards? That is called Factoring. 

Let’s say we have an equation that looks like this:

4x^{2} – 32x +48

We need to find the GCF that can be divided into everyone of these terms. In this case, the GCF is 4. Then you will divide each term by four. But if you divide, you also need to multiply the equation by four to cancel it out.

My explanation should look something like this:

4( 4x^{2} /4 – 32/4 + 48/4)

Once you have divide each term by their GCF, your answer should look like this:

4(x^{2} – 8x +12)

Math 10 Week 5 – Distributing Method for Trinomials

This week we learned different methods you can use to to multiply to monomials to create a trinomial. In this blog post I am going to show you how to use the the distributive method because I find it the easiest and most efficient way to find your answer.

Let’s say you have an equation that looks like this:

(7x+9)(5x+2)

This is where you can use this method. All you have to do is multiply the different terms in a specific pattern.

 

This photo shows which terms need to be multiplied together, in what order (Blue 1st, red 2nd, green 3rd and black 4th).

If done correctly, your answer should look like this:

35x^{2} + 14x + 45x + 18

Then you add your like terms together:

35x^{2} + 59x + 18