Your friend runs up to you, scared that he is not ready for the upcoming quadratics test. To help him study, you will create four different quadratic functions. Then demonstrate to him how to rewrite each function as a group of factors, if possible.
The function f(x) is a difference of squares.
The function g(x) is a sum of squares.
The function h(x) is a perfect square trinomial.
The function j(x) can only have a GCF factored out of it.

Question

Your friend runs up to you, scared that he is not ready for the upcoming quadratics test. To help him study, you will create four different quadratic functions. Then demonstrate to him how to rewrite each function as a group of factors, if possible.
The function f(x) is a difference of squares.
The function g(x) is a sum of squares.
The function h(x) is a perfect square trinomial.
The function j(x) can only have a GCF factored out of it.

anonymous · Answer

I'm confused on the question itself

anonymous · Answer

How would I even demonstrate how to rewrite each function as a group of factors, if possible?

anonymous · Answer

@pooja195 @dan815 @Kainui

anonymous · Answer

@TheCleverOne ?

anonymous · Answer

@Serenity74 @fig-jig @Safa102

dumbcow · Answer

difference of squares:
$$x^2 -a^2 = (x-a)(x+a)$$
you can create any function by picking a num for "a"

sum of squares:
$$x^2 + a^2$$
this cannot be factored into a group of factors

perfect square:
$$x^2 +2ax + a^2 = (x+a)^2$$

anonymous · Answer

thank you so much for helping first of all and okay so im not sure if i understand

anonymous · Answer

so just plug in a number to a in the first formula you gave ? @dumbcow

dumbcow · Answer

yes "a" can be any integer

anonymous · Answer

thanks @dumbcow