Question

Can someone help me? I'm confused on how to go about doing this!

Create and equation and factor it using this guideline:

The function h(x) is a perfect square trinomial.

Answer 1

Okay, so a trinominal has three terms and if its a perfect square trinomial \[x^2+2ax+a^2\] it will factor into something like this \[(x-a)^2\]By just saying your function is a perfect square doesn't really tell me much as there are literally infinite perfect squares.

Answer 2

Is there some other information given?

Answer 3

Here's the full question:

create a quadratic function. Then demonstrate how to rewrite the function as a group of factors, if possible.

The function h(x) is a perfect square trinomial.

Answer 4

Okay well lets take our perfect square trinomial \[x^2+2ax+a^2=h(x)\] now we can group \[(x^2+ax)+(ax+a^2)\] taking out factors \[x(x+a)+a(x+a)\] now we can take out the (x+a) factor \[(x+a)(x+a)\] and since we have a number, x+a, multiplied by itself, we can write it as \[(x+a)^2\] I don't know if that answers the question but I hope it helped.

Answer 5

To create a specific function, just replace a with an integer.

Answer 6

Ohhh! That makes a lot of sense now, I was getting stuck on what to do after I grouped the base equation, I forgot that you need to take out the factors. Thanks so much for your help!!

Answer 7

No worries, glad I could