Question

?

Answer 1

to re-arrange in standard form simply re-write the function so the exponents are in decreasing order (be careful to preserve the signs of the terms though)

Answer 2

addition is commutative

you can re-arrange the terms so that the exponents are decreasing, b/c right now it's going from 1 to 2 to 0 which is out of order

Answer 3

you can switch the x and the x^2 and then the function will be in standard form

Answer 4

okay so for a it would be
standard form: m(x)=x^2+x-1

Answer 5

good

to describe the "polynomial name' first identify the degree (highest exponent) and the number of terms

Answer 6

x^2

Answer 7

2x

Answer 8

good, so the highest exponent is 2

how many terms are there?

Answer 9

2

Answer 10

3

Answer 11

good, 3

so the name is "quadratic trinomial"

Answer 12

degree woukd be 2?

Answer 13

good, degree is 2

for "leading coefficient" which term has the highest exponent?

Answer 14

1?

Answer 15

because it is x^2 isn't there an understood 1>

Answer 16

yeah, the leading coefficient is 1 ^_^ sorrythoughtyouweretalkingabouttheterm1

Answer 17

with that being said the constant term is 1 since that's the term with no variables in it

and we're done

Answer 18

well, done with #6 anyway

Answer 19

anyway, #7 is already in standard form so just copy it down again for that problem

Answer 20

for "polynomial name" how many terms are there and what's the degree?

Answer 21

sorry if I'm kind of slow, I'm on mod duty and we have a lot of trouble makers today

Answer 22

no its okay

Answer 23

umm there are 2 terms?

Answer 24

good, and what's the highest exponent?

Answer 25

um 1?

Answer 26

would thi sbe monomial?

Answer 27

monomial means one term only

since the degree is 1 we use "linear"
two terms = binomial

so linear binomial = answer

Answer 28

the degree is 1
leading coefficient is also 1 (since the coefficient of x is 1)

Answer 29

constant term is pi

Answer 30

start by re-writing the polynomial by re-arranging the terms in descending order of exponents

Answer 31

standard form is 11x^3-6x^2+2

Answer 32

good

degree and number of terms?

Answer 33

3 and 3

Answer 34

trinomial

Answer 35

good and what about the degree? what word would we use to describe a degree of 3?

Answer 36

cubic trinomial

Answer 37

good

degree is 3

what is the coefficient of the highest-exponent term?

Answer 38

11

Answer 39

good so leading coefficient is 11

constant term is 2