Question

Algebra Help!

Write each polynomial in standard form. Then name each polynomial based on its degree and number of terms.

6. 4r + 3 - 9r^2 + 7r =

10. 7x^2 + 8 + 6x - 7x^2 =

Answer 1

@Vocaloid

Answer 2

first combine like terms (if necessary)

then arrange the terms from highest exponent to lowest

Answer 3

I need alittle help

Answer 4

let's start with #6

6. 4r + 3 - 9r^2 + 7r =

start by adding 4r + 7r = ?

Answer 5

11r

Answer 6

good, that gives us

11r + 3 - 9r^2

now we order them from highest exponent to lowest, giving us:

-9r^2 + 11r + 3

Answer 7

do you think you can handle the next one on your own? tag me if you need help :)

Answer 8

Yes, I need help on the next one as well

Answer 9

@Vocaloid Start with 6x - 7x^2 ?

Answer 10

nope

Answer 11

those aren't like terms, since one has x and the other one has x^2

Answer 12

we can put 7x^2 - 7x^2 together to get 0

Answer 13

Okay so theres only one like term the 6x

Answer 14

@Vocaloid 8 + 6x + 0 ?

Answer 15

other way around

Answer 16

@Vocaloid 6x + 8 ?

Answer 17

6x + 8, since 6x has the higher exponent

Answer 18

yes

Answer 19

Oh okay and that is the answer?

Answer 20

well, that's part of the answer

Answer 21

" name each polynomial based on its degree and number of terms. "

Answer 22

@Vocaloid I'm not sure what else to do

Answer 23

@Vocaloid

Answer 24

for number 6, we got

-9r^2 + 11r + 3

there are three terms, so this is a trinomial. the highest exponent is 2, so this is a quadratic trinomial

Answer 25

for the other one we got

6x + 8

there are two terms, so this is a binomial. the highest exponent is 1, so this is a linear binomial

Answer 26

@Vocaloid I'm confused. Is #10 a binomial or linear binomial?

Answer 27

@Vocaloid

Answer 28

linear binomial