Question

Choose the polynomial that is written in standard form.

−3x5y2 + 4x3y + 10x2

−8xy2 + 4x4y2 + 3x3

x4y2 + 4x3y5 + 10x4

x6y2 + 4x3y8 + 10x7

I just do get Algebra I but any other math i can do lol help me please.

Answer 1

standard form means highest degree to lowest
to get the degree of each term, add the exponents
for example the degree of the term \(x^4y^2\) is \(4+2=6\)

Answer 2

Standard form is: Ax+By=C

Answer 3

add all the exponents in their terms and then see if they are in declining order.

Answer 4

i know the standard from but lost after that

Answer 5

For example:

\[−3x^5y^{2} + 4x^3y + 10x^2\]

Answer 6

Add the exponents up

Answer 7

so I will had to add just like is right?????

Answer 8

Like @satellite73 said

Answer 9

But only add the exponents in their relevant terms

Answer 10

\[ \overbrace{−8xy^2}^3 +\overbrace{ 4x^4y^2}^6 +\overbrace{ 3x^3}^3 \]

Answer 11

^

Answer 12

not in standard from because it does not go from highest to lowest

Answer 13

Remember any lone variable (y,x) is the same as x^1, y^1

Answer 14

One way I do it is to look at the first two terms, if the first one is smaller immediately move one.

Answer 15

\[\overbrace{ x^4y^2}^6 + \overbrace{4x^3y^5}^8 +\overbrace{ 10x^4}^4 \]also no

Answer 16

on*

Answer 17

so you mean x4 the 4 is bigger then the x. i don't get this

Answer 18

add up the exponents in each term

Answer 19

forget about the variable, just add the exponents

Answer 20

Exactly, just add up the little numbers on top, and then see if they go down in size

Answer 21

the ones on the bottom or the top

Answer 22

Top

Answer 23

i got 18

Answer 24

\[x^{2} \]

Answer 25

? One which one?

Answer 26

18 for the top

Answer 27

lets go slow
start with
\[ −3x^5y^2 + 4x^3y + 10x^2 \] which has 3 terms

Answer 28

Every part seperated by the + or - sign is a term (-3x^5y^2) is a term

Answer 29

one term is \(-3x^5y^2\) and the degree of that term you get by adding the exponents
ignore everything else
the degree of \(-3x^5y^2\) is \(7\) because \(2+5=7\)

Answer 30

how about the degree of \(4x^3y\) ?

Answer 31

4+2=6 right

Answer 32

Not the big number, only the exponents :)

Answer 33

I am so lost :(

Answer 34

how about this example:
the degree of \(x^3y^7\) is \(3+7=10\)
is that ok?

Answer 35

how did you do that

Answer 36

i added the exponent of \(x^3\), which is 3, to the exponent of \(y^7\) which is 7
when you add 3 and 7 you get 10

Answer 37

ok with that?

Answer 38

x2 and y7 how do you add them to 3 and 7 to = 10

Answer 39

I thought that was a two for a second <_<

Anyways felicia, you see an exponent is the small little number on top of the variables (x, y are the variables) and the big number at the beginning is irrelevant.

Answer 40

if you had \(x^2y^7\) then the degree would not be 10, it would be 9, because \(2+7=9\)

Answer 41

When i did i got 9

Answer 42

But i do know how you got 10

Answer 43

ok good, now how about
\[17x^3y^7\] what do you think the degree of that is?

Answer 44

i add the top or the bottom???

Answer 45

just the exponents, that is the point
ignore the 17 entirely and just add the exponents

Answer 46

Will you get 9????

Answer 47

not when you add 3 and 7, no
you still get 10

Answer 48

how about \(-5x^4y^2\) ?

Answer 49

i forget the 2 is a 3 sorry

Answer 50

lol no problem

Answer 51

what about \(-5x^4y^2\) what do you think the degree of that one is?

Answer 52

so will 4 be 5 now???

Answer 53

exponents of \(-5x^4y^2\) are \(4\) and \(2\) add them up

Answer 54

4+2=6

Answer 55

ok got that one
how about
\[−3x^5y^2\]

Answer 56

is the 2 a 3 now???

Answer 57

ok i see you are confused a bit
there is no such thing as "the 2 is a 3"
read what you see as the exponents, and add them

Answer 58

5+2=7

Answer 59

don't change the exponents, add them
right!

Answer 60

now what about \( 10x^2\) ? there is only one exponent here, so nothing to add

Answer 61

so the degree of \(10x^2\) is just \(2\)

Answer 62

Ok try this, ignore everything except for the small numbers on top.

Answer 63

why is just 2

Answer 64

because that is the only exponent, there is no other

Answer 65

the degree of \(x^4\) is \(4\) and the degree of \(15x^6\) is \(6\)

Answer 66

ok get it

Answer 67

because you can't add nothing to it right

Answer 68

right

Answer 69

ok one more
what do you think the degree of \(4x^3y\) is? careful here

Answer 70

will it be 2???

Answer 71

a hint is \(4x^3y\) is the same as \(4x^3y^1\)

Answer 72

what are the exponents?

Answer 73

2+1=3

Answer 74

Remember any variable that is lone is the same as 1

Answer 75

Yupp

Answer 76

YES

Answer 77

now lets look at your first problem, which we have actually completed
\[ −3x^5y^2 + 4x^3y + 10x^2 \]

Answer 78

Breakthrough :D

Answer 79

lol

Answer 80

you have already said what the degree of each term is there

Answer 81

\[−3x^5y^2 + 4x^3y + 10x^2\] you already said the degree of \(-3x^5y^2\) is 7 right?

Answer 82

and you just said the degree of \(4x^3y\) is \(4\)

Answer 83

yes yes

Answer 84

and a little earlier you said the degree of \(10x^2\) is \(2\)

Answer 85

yes

Answer 86

the the degrees are, in order, \(7,4,2\)

Answer 87

and they are definitely ordered from largest to smallest right?

Answer 88

yes

Answer 89

then it is in standard form!

Answer 90

ok so thats it????????

Answer 91

I admire your ways to get t hings done @satellite73
btw you know I can't PM you back right xD

Answer 92

now you can

Answer 93

@Felicia123 yes, that is it, unless there is another one in standard form too

Answer 94

so the next one be like

Answer 95

you might want to make sure you understand by finding the degrees of the terms of
\[ x^6y^2 + 4x^3y^8 + 10x^7\]

Answer 96

6+2=8 2+8=10 and just 7

Answer 97

i guess you got it, except for one small detail
for some reason you keep seeing the \(3\) as a \(2\)!