Question

help please asap

Answer 1

@Ultrilliam @Vocaloid @ThisGirlPretty @dude @Elsa213

Answer 2

What's the question?

Answer 3

sorry..

Part A: Create a fifth-degree polynomial with three terms in standard form. How do you know it is in standard form? (5 points)

Part B: Explain the closure property as it relates to subtraction of polynomials. Give an example. (5 points)

Answer 4

I enjoy cookies. <3

Answer 5

hehe

Answer 6

@Elsa213 @ThisGirlPretty

Answer 7

please help :)

Answer 8

Vocaloid is possibly the only one that can :P

Answer 9

ok... can you please tag voc

Answer 10

@Vocaloid

Answer 11

@AngeI

Answer 12

I dont know sorry

Answer 13

:(

Answer 14

i really need help with this question

Answer 15

@Zepdrix

Answer 16

A)

Terms are separated by addition or subtraction.
If we want `three` terms, then we should have `two` addition/subtraction signs.

\[\large\rm \text{___ } + \text{___ } + \text{___ }\]

`Fifth degree` tells us that the largest exponent of our polynomial should be a `five`.
So how bout something like this:\[\large\rm 22x^3 + x + 7x^5\]

We have an x to the `first`, `third` and `fifth` powers.
The largest power is `five`, so this is a fifth degree polynomial.

Recall that addition is commutative,
we can rearrange the terms,
add in any order.

Standard form is when the powers descend from largest to smallest (left to right).

So we can rearrange our terms like this,
\[\large\rm 7x^5+22x^3+x\]

and now our polynomial is in standard form.

Answer 17

So closure is like...
when you apply some operation to two similar "types" of numbers,
if the operation gives you a different "type" of number as a result,
then you don't have closure.

Examples:
The integers are closed under subtraction.
If you subtract an integer from another integer,
you will always end up with an integer.

7 - 5 = 2 (2 is an integer).
3 - 5 = -2 (-2 is an integer).

Polynomials are closed under subtraction.

This is maybe the way you would want to answer part B)

Polynomials have closure under subtraction because you end up with a polynomial if you subtract any polynomial from any other polynomial.

Example:

\[\large\rm (3x^2 - 7) - (5x^3 + x) = -5x^3+3x^2-x-7\]
In this particular example, we had no like-terms that we could combine,
but the result is still a polynomial.

Answer 18

wow thank you so much seriously!!! :))))))))))))))