Question

I need help on this It’s changing forms of Quadratics ( use factoring to change from standard form to factored form: )

Answer 1

Given the equation:

`y=x^2-10x+21`

Let's use factoring form to change the equation from standard form to factored form.

Let's factor using the AC method.

Find a pair of numbers whose sum is -10 and whose product is 21.

We have the pair:

-3 and -7

Proof:

-3 + (-7) = -10

-3 x (-7) = 21

Now, we have the factored form using the pair of numbers:

`y=(x-3)(x-7)`

Therefore, the factored form is:

`y=(x-3)(x-7)`

ANSWER:

`y=(x-3)(x-7)`