Question

Will fan and medal
What is the simplified form of (4j^2 + 6) + (2j^2 – 3)
6j^2 – 3
6j^2 + 3 i think it is this one
6j^2 + 9
4j^4 + 3

What is the difference of the following polynomials?

(6x^3 – 2x^2 + 4)

– (2x^3 + 4x^2 – 5)
______________

4x^3 – 2x^2 – 1
8x^3 + 6x^2 – 1
4x^3 – 2x^2 + 1
4x^3 – 6x^2 + 9
I have no idea

Answer 1

yes for the first one

Answer 2

\[ (6x^3 – 2x^2 + 4) – (2x^3 + 4x^2 – 5)\]first step is to get rid of the parentheses by distributing the minus sign, i.e. change the sign of everything in the second set of parentheses

Answer 3

then combine like terms
clear or no?

Answer 4

Uh sorta....

Answer 5

lets take it step by step (there are only two steps, but whatever)

Answer 6

get rid of the parentheses and change all the signs in the second part gives \[6x^2-2x^2+4-2x^2-4x^2+5\]

Answer 7

ok typo there let me try again

Answer 8

\[6x^3-2x^2+4-2x^3-4x^2+5\]

Answer 9

that's better
now combine like terms

Answer 10

let me know what you get an i will check it

Answer 11

Okay thank you!

Answer 12

When I combined like terms I got 9 + -6x2 + 4x3 I think I am doing something wrong 😁

Answer 13

@satellite73

Answer 14

hold on a sec

Answer 15

we are at this step \[6x^3-2x^2+4-2x^3-4x^2+5\] right?

Answer 16

Yes

Answer 17

ok your answer is right, but it is written funny for two reasons

Answer 18

no one writes \(+-\), it is just \(-\) so get rid of the \(+-6x^2\) or your teacher will think you are weird

Answer 19

second, polynomials are usually written in "standard form" meaning from highest degree to lowest, so rearrange the terms with the highest power first etc

Answer 20

but your answer is correct, just write is as \[4x^3-6x^2+9\]

Answer 21

Thank you so much!!!

Answer 22

yw