answersLogoWhite

0

x2 + 16 - 8x is a perfect square. First, let's correctly arrange the terms:

= x2 - 8x + 16

We can see that the last term is equal to the square of half the coefficient of the second term. This tells us that it's a perfect square, and we can simply say:

= (x - 4)2

We can also work this out using the usual technique for finding factors of quadratic expressions. We need two numbers that add to make -8 and multiply to make 16. That would be two of the same number, -4.:

= x2 - 4x - 4x + 16

= x(x - 4) - 4(x - 4)

= (x - 4)(x - 4)

= (x - 4)2

User Avatar

Wiki User

13y ago

Still curious? Ask our experts.

Chat with our AI personalities

ViviVivi
Your ride-or-die bestie who's seen you through every high and low.
Chat with Vivi
FranFran
I've made my fair share of mistakes, and if I can help you avoid a few, I'd sure like to try.
Chat with Fran
BlakeBlake
As your older brother, I've been where you are—maybe not exactly, but close enough.
Chat with Blake

Add your answer:

Earn +20 pts
Q: How do you factor x2 plus 16-8x?
Write your answer...
Submit
Still have questions?
magnify glass
imp