I think it it would be 40 I’m not to sure about this so
Answer:
4
Step-by-step explanation:
2x2x2x2 = 16
The quotient is x^3 + 4x^2 -x + 1.
Solution:
By polynomial grid division, we start by the divisor 3x + 10 placed on the column headings.
3x 10
x^3 3x^4
We know that 3x^4 must be in the top left which means that the first row entry must be x^3. So the row and column multiply to 3x^4. We use this to fill in all of the first row, multiplying x^3 by the terms of the column entries.
3x 10
x^3 3x^4 10x^3
4x^2
We now got 10x^3 though we want 22x^3. The next cubic entry must then be 12x^3 so that the overall sum is 22x^3.
3x 10
x^3 3x^4 10x^3
4x^2 12x^3
Now we have 40x^2, so the next quadratic entry must be -3x^2 so that the overall sum is 37x^2.
3x 10
x^3 3x^4 10x^3
4x^2 12x^3 40x^2
-x -3x^2 -10x
This time we have -10x, so the next linear entry must be 3x so that the overall sum is 7x.
3x 10
x^3 3x^4 10x^3
4x^2 12x^3 40x^2
-x -3x^2 -10x
1 3x 10
The bottom and final term is 10, which is our desired answer. Therefore, we can now read the quotient off the first column:
3x^4+22x^3+37x^2-7x+10 / 3x + 10 = x^3 + 4x^2 -x + 1
Answer:
![3x-2y=2](https://tex.z-dn.net/?f=3x-2y%3D2)
Step-by-step explanation:
The equation of line having slope
and passing through
.
![The\ equation\ of\ line\ is\ given\ by\ y=mx+c\ where\ m\ is\ the\ slope\ of\ line.\\\\Here\ m=\frac{3}{2}\\\\Equation\ y=\frac{3}{2}x+c\\\\Line\ passes\ through\ (-4,-7),\ it\ will\ satisfy\ the\ equation\ of\ line.\\\\-7=\frac{3}{2}\times (-4)+c\\\\-7=-6+c\\\\c=-7+6\\\\c=-1\\\\y=\frac{3}{2}x-1\\\\2y=3x-2\\\\3x-2y=2](https://tex.z-dn.net/?f=The%5C%20equation%5C%20of%5C%20line%5C%20is%5C%20given%5C%20by%5C%20y%3Dmx%2Bc%5C%20where%5C%20m%5C%20is%5C%20the%5C%20slope%5C%20of%5C%20line.%5C%5C%5C%5CHere%5C%20m%3D%5Cfrac%7B3%7D%7B2%7D%5C%5C%5C%5CEquation%5C%20y%3D%5Cfrac%7B3%7D%7B2%7Dx%2Bc%5C%5C%5C%5CLine%5C%20passes%5C%20through%5C%20%28-4%2C-7%29%2C%5C%20it%5C%20will%5C%20satisfy%5C%20the%5C%20equation%5C%20of%5C%20line.%5C%5C%5C%5C-7%3D%5Cfrac%7B3%7D%7B2%7D%5Ctimes%20%28-4%29%2Bc%5C%5C%5C%5C-7%3D-6%2Bc%5C%5C%5C%5Cc%3D-7%2B6%5C%5C%5C%5Cc%3D-1%5C%5C%5C%5Cy%3D%5Cfrac%7B3%7D%7B2%7Dx-1%5C%5C%5C%5C2y%3D3x-2%5C%5C%5C%5C3x-2y%3D2)