Question

Emergency Looking for an angel to save me before I fail math class!!

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.

Answer 1

if c is a root of an equation then (x-c) is a factor
when you divide the function by (x-c) the remainder = 0
difference means subtract
squares means power 2

Answer 2

I'm not following you, I'm very confused because the problem is asking to create 4 different functions but I'm stuck on that

Answer 3

g(x) sum means to add

h(x) trinomial means it has 3 terms
perfect square means the root is an integer

Answer 4

oh ok, could you give me an example of those please

Answer 5

each situation is a different function
f(x) = a^2 - b^2 = (a - b)(a +b)

Answer 6

ok tyvm :)

Answer 7

(x+5)^2 = x^2 + 10x + 25

Answer 8

you are welcome

Answer 9

would that right there be a perfect square trinomial example :)?

Answer 10

yes 5^2 = 25
3 terms in the function

Answer 11

okie dokie

Answer 12

could you maybe give me an example of g(x) and j(x) now :D?

Answer 13

compare
f(x) difference means to subtract
g(x) sum means to add
you can do that

Answer 14

j(x) to have a common factor
whatever the function is, each coefficient can be divided by the GCF