Using polynomial long division, we get
3x^3+6x^2+11x
_____________
(x+2) | 3x^4-x^2+cx-2
-(3x^4+6x^3)
____________
6x^3-x^2+cx-2
- (6x^3+12x^2)
_____________
11x^2+cx-2
-(11x^2+22x)
__________
(22+c)x-2.
If you're wondering how I did the long division, what I essentially did was get the first value (at the start, it was 3x^4) and divided it by the first value of the divisor (which in x+2 was x) to get 3x^3 in our example. I then subtracted the polynomial by the whole divisor multiplied by, for example, 3x^3 and repeated the process.
For this to be a perfect factor, (x+2)*something must be equal to (22+c)x-2. Focusing on how to cancel out the 2, we have to add 2 to it. To add 2 to it, we have to multiply (x+2) by 1. However, there's a catch, which is that we subtract whatever we multiply (x+2) by, so we have to multiply it by -1 instead. We still need to cross out (22+c)x. Multiplying (x+2) by -1, we get
(-x-2) but by subtracting the whole thing from something means that we have to add -(-x-2)=x+2 to something to get 0. x+2-x-2=0, xo (22+c)x-2 must equal -x-2, meaning that (22+c)=-1 and c=-23
Answer:
47 and 29
Step-by-step explanation:
(26+5) x 2 - 15 =?
31 x 2 - 15
62 - 15
47
5^{2} + 8 divided by 2 =?
(5 x 5) + 8/2
25 + 4
29
or you mean: ( 5^{2} +8 ) /2
(25+8) /2
33/2
16,5
Answer:
923000.
Step-by-step explanation:
You want to find the number in which 9 represents 1/10th of its value in 92300. Naturally, this number would be 10 times larger. Multiply 92300 by 10 to get 923000.
Answer:
3,9,and 36
Step-by-step explanation:
small=x
median=3x
big=12x
x+3x+12x=48
16x=48
x=3
3=small
3*3=9 (median)
9*4=36(big)
3+9+36 = 48
