ALGEBRA HELPPP

[Maki]

1. x^3 - 2x^2 + 7x + 12 is divided by x^2 - 3x +4. What is the remainder?

2. 2x^3 + kx^2 - 3x + 18 has x-3 as one of its factors. What is the value of k?

Need the processes please! So much messy math

[5252]

WE ARE ASIAN BUT WE DON'T KNOW MATH

FUCK

[Maki]

Yeah, not too gifted in that department

[5252]

@(you need an account to see links) @(you need an account to see links) are reliable

[Ghosts]

I think those are correct. I haven't done that kind of math in a while though so hopefully someone else can confirm.

[Cath]

@(you need an account to see links) Do you have the correct answers with you? If so, what answer do you have at #1? Just want to make sure I have the right one so I can explain it to you!

---------- Post added at 10:26 PM ---------- Previous post was at 10:22 PM ----------

I think those are correct. I haven't done that kind of math in a while though so hopefully someone else can confirm.

@(you need an account to see links) if your logic is right, on #2, I think the answer should be negative?

63+9k=0
(You have to do -63 on both sides to remove it) ---> 9k = -63
And then divide -63 by 9 = -7


I could be wrong though, I haven't done algebra for years. :')

[Ghosts]

@(you need an account to see links) Do you have the correct answers with you? If so, what answer do you have at #1? Just want to make sure I have the right one so I can explain it to you!

---------- Post added at 10:26 PM ---------- Previous post was at 10:22 PM ----------


@(you need an account to see links) if your logic is right, on #2, I think the answer should be negative?

63+9k=0
(You have to do -63 on both sides to remove it) ---> 9k = -63
And then devide -63 by 9 = -7

Yeah you're right, my bad. I'm tired haha. It should be -7.

[Maki]

thanks guys, just slowly checking things out right now, ill rep yall in a bit

@(you need an account to see links) howd yu get from there to there?

[Ghosts]

thanks guys, just slowly checking things out right now, ill rep yall in a bit

@(you need an account to see links) howd yu get from there to there?

The top line there is the remainder of the subtraction of the divisor from the first three terms of the polynomial (x^2 + 3x), plus the next term (in this case 12). Since that polynomial and the divisor have the same degree and the sign of the leading coefficient is the same you leave the divisor as is, which is the second line. Then you subtract the second line from the first line to get 6x + 8.

So overall, the answer to the division would be x, with a remainder of 6x + 8.
But again, I'm not 100% sure if that's right so hopefully @(you need an account to see links) can confirm/correct.

[Brickhaus]

@(you need an account to see links) had both answers correct (except the second answer was negative); however, on top of the division in #1 should be x+1. Because you're multiplying the left polynomial by 1 to put it into the subtraction down below, you've got to put a 1 into that answer.

Tl;dr: The remainder is right, the division answer is not.