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:
20.8 hours
Step-by-step explanation:
2 3/5 = 2.6.The painter will take (2.6 × 8) = 20.8 hours to paint a wall.
Hope this helps and pls mark as brianliest :)
Answer:
Step-by-step explanation:
step 1
Find the surface area of one hanging lantern
we know that
The surface area of a cone (hanging lantern) is equal to
we have
assume
substitute the values
step 2
Find the surface area of the three hanging lanterns
Answer: x < -4 and -4 > x
x < -4 would be one of the two options.
This means that any number less than -4 is a solution.
This is shown by drawing an open dot on -4 and then
drawing an arrow to the left shows all answer less tan 4.
-4 > x would be our second option.
We can change it to say x < -4.
All I did was changed the order of numbers and switched the sign.
So x < -4 is the same as the first option.
If your sum of all of them added up is 180, then all you will do is add 61+79 that will give you 140 and then subtract that from 180. Your answer should be 40 degrees. :) hope this helps