# Week 5 – Precalc 11

This week in precalc 11 we did some factoring review.  There were 5 terms we learned:

C- common: a good example that helped me understand this was 15$x^3$ – 5$x^2$ = 5$x^2$ (  3$x^3$ – 1 )

D- difference of squares (binomials): an example that helped me understand this was ( $x^2$ – 64 ) = ( x + 8 ) ( x – 8 )  *they are like conjugates.

P- patterns (trinomials) : this one is a bit harder but after some practice it becomes easier. First you need to identify each number with the formula $a^2$ + bx + c, then you need to write down all factors pairs for c, and then you need to find a factor pair that sums up to b, and finally you substitute factor pairs into two binomials

E- easy patterns: an example that helped me understand this one is $x^2$ + 12x + 35 = ( x + 5 ) ( x + 7 )

U- ugly patterns: all the ugly polynomials that seem hard or just ugly in general: 5$x^2$ – 7x + 2. For these, we learned to solve them using the box method.