Question

**FAN AND MEDAL****
What type of polynomial is x(x - 6)(x - 7)? and what is its degree?

Answer 1

You need to expand it by multiplying.

Answer 2

So (x^2-6x)(x-7)
Then x^3-6x^2-7x^2+42
Now combine the like terms.

Answer 3

ok, so i got 2x^2 - 13x^2 - 13

Answer 4

you need to do them individually I think, so x(x-6) first. Then that times (x-7)

Answer 5

thats not how you do this
you do this:
(x - 6)(x-7)
then you get: 2x - 13x - 13, then you multiply that by x and get 2x^2 - 13x^2 -13

Answer 6

Okay i screwed up lol.

Answer 7

well if that's the answer, the degree is whatever the highest exponent is. So now you know that.

Answer 8

so the degree is 2, so is it a trinomial?

Answer 9

Well hang on, when you do the two binomials together you got 2x^2 - 13x - 13, right?

Answer 10

yeah

Answer 11

Then you need to multiply them all by x if you haven't yet, so it'll be 2x^3 - 13x^2 - 13x.

Answer 12

So it would be to the 3rd degree.

Answer 13

READ WHERE I EXPLAINED HOW TO DO IT, IT HAS ALREADY BEEN MULTIPLYED BY X

Answer 14

thats not how you do this
you do this:
(x - 6)(x-7)
then you get: 2x - 13x - 13, then you multiply that by x and get 2x^2 - 13x^2 -13.

That's what you wrote, but when you do the first ones x times x, that should be x^2.

Answer 15

so it would be 2x^2 - 13x - 13 times x.

Answer 16

a trinomial is a polynomial with 3 terms, so does - 13 count as a term.....Where did the extra x come from?

Answer 17

- 13 does count, and I'm not too sure what you mean by the extra x...

Answer 18

were you trying to say i forgot the x that oes on the -13? because i just noticed that

Answer 19

And i say extra x because I already multiplyed the whole equation by x and then you multiplyed it by x a SECOND time which is why i ask where you got the second x

Answer 20

Well sort of... What I'm saying is that when you were multiplying the first two binomials, (x - 6)(x - 7) it should have equaled x^2-7x-6x+42.

Answer 21

which is x^2-13x+42.

Answer 22

and that's before you multiplied it by x, so it should be x(x^2-13x+42)

Answer 23

that doesnt change that its a second degree trinomial

Answer 24

Yes it does, It would make it to the third degree.

Answer 25

because (x)(x^2) = x^3

Answer 26

oh ok

Answer 27

So is that it?