Question

what is (-6x²-3x³+4)+(-7x³+2x+4)-(-3x³+5x²+2)
thanks!

Answer 1

hi. do you still need some help with this problem?

Answer 2

yes please

Answer 3

ok. I think we can get rid of the problem pretty quickly. are you ready?

Answer 4

yep

Answer 5

start by making sure the polynomials in parentheses are in descending order.

Answer 6

so the first set of terms should be -3x^3-6x^2+0x+4

Answer 7

gotcha

Answer 8

notice the 0x term as a placeholder

Answer 9

yep

Answer 10

now just like you would put double or triple digit addends in a position to add them vertically, i would like you to align like powers of x with their respective coefficients in descending powers of x

Answer 11

align them vertically so that the x^3 terms are in one column and the x^2 terms are in the next and so on. Feel free to ask any questions. Like maybe about the parenthetical terms with the minus sign in front :)

Answer 12

ok :)

Answer 13

now notice that the last set of terms in parentheses has a minus sign in front. so you need to use the definition of subtraction and distribute that minus sign onto all 3 terms

Answer 14

this way you are dealing constantly with that pesky minus sign. you will simply be adding the coefficients of like terms

Answer 15

ooops.. this way you NOT constantly dealing with that pesky minus sign. lol

Answer 16

lol ok

Answer 17

now, add you x^3 terms vertically and tell me what you get

Answer 18

7x^3?

Answer 19

your coefficients are the sum of -6 and -7 and 3. So what is that sum?

Answer 20

i got 4

Answer 21

thanks for the compliments. :)

Answer 22

-6+-7=?

Answer 23

ur welcome andddddd -13. i was subtracting instead of adding :/ lol

Answer 24

it is understandable. now add 3 to -13 and this is the coefficient of your x^3 term.

Answer 25

still there terrina?

Answer 26

i am going to help some other people. you can send me a message if you want to continue. Take care

Answer 27

i am sooooooooo sorry i had to take out the trash :/