Answer:
The remainder will be 6.
Step-by-step explanation:
We have the function:
![f(x)=x^4-2x^3-27x^2-9x+18](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E4-2x%5E3-27x%5E2-9x%2B18)
And we want to find the remainder after it is divided by the binomial:
![x+4](https://tex.z-dn.net/?f=x%2B4)
We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) being divided by a binomial in the form (<em>x</em> - <em>a</em>), then the remainder will be given by P(a).
Here, our divisor is (<em>x</em> + 4). We can rewrite this as (<em>x</em> - (-4)).
Therefore, <em>a</em> = -4.
Then according to the PRT, the remainder will be:
![f(-4)=(-4)^4-2(-4)^3-27(-4)^2-9(-4)+18=6](https://tex.z-dn.net/?f=f%28-4%29%3D%28-4%29%5E4-2%28-4%29%5E3-27%28-4%29%5E2-9%28-4%29%2B18%3D6)
The remainder will be 6.
Answer:
y = 6x + 1
Step-by-step explanation:
Use the point slope equation:
y - y1 = m( x - x1 )
y - 1 = 6 ( x - 0)
y - 1 = 6x
y = 6x + 1
Answer:
C
Step-by-step explanation:
The sequence is adding +5 every time, and there are all positive numbers in the sequence so it is C.
Answer:
GFKSKKGKKSFG
Step-by-step explanation: