This week in Pre Cal 11 we learned more about factoring. We did a lot with factoring in grade 10 and it was one of my best units so I already feel pretty confident in my skills but there were some new topics introduced that I think I could use some more practice on.
One of those topics is using substitution. This wasn’t a very complicated concept it was similar to most things we’ve done in algebra but it was very useful when factoring equations with more complex variables and made It much easier.
This was the first question I tried, and although it looks like a very complicated factoring question, it is incredibly easy to use substitution.
Here is my work:
Pretty much you choose a different variable to replace the parts in brackets. I chose A for this. Write the sentence let (x+3) = a and factor your equation like normal after. Once you’ve factored your substituted equation, replace your variable for its original form and you’re done.
This seemed very complicated but it wasn’t and I think it’s a very helpful way of factoring bigger equations.