(-9x^3 + 3x^2 -15x)divided by (-3x)
Find the quotient
-9x^3/-3x+ 3x^2/-3x -15x/-3x
=
3x^2 -x + 5
you are correct, good job
To find the quotient, we need to perform the division between the given polynomial (-9x^3 + 3x^2 - 15x) and the divisor (-3x). Here is how you can do it step by step:
1. Write the dividend and the divisor in the standard form of a polynomial division, arranged in descending order of powers of x. If there are any missing terms, include them with a coefficient of 0.
```
-9x^3 + 3x^2 - 15x
______________________
-3x |
```
2. Divide the first term of the dividend by the first term of the divisor. Place the result above the line.
```
-9x^3 + 3x^2 - 15x
______________________
-3x | 3x^2
```
3. Multiply the divisor by the quotient on the top line and write the result below the dividend. Subtract this product from the corresponding terms of the dividend.
```
-9x^3 + 3x^2 - 15x
______________________
-3x | 3x^2
-9x^3 + 0x^2 + 0x
______________________
0x^3 + 3x^2 - 15x
```
4. Bring down the next term of the dividend.
```
-9x^3 + 3x^2 - 15x
______________________
-3x | 3x^2
-9x^3 + 0x^2 + 0x
______________________
0x^3 + 3x^2 - 15x
-15x
```
5. Repeat steps 2-4 until there are no more terms in the dividend.
```
-9x^3 + 3x^2 - 15x
______________________
-3x | 3x^2 - 15x
-9x^3 + 0x^2 + 0x
______________________
0x^3 + 3x^2 - 15x
-15x + 0
______________________
-15x
```
6. Since the remainder is -15x and there are no more terms in the dividend, the quotient is the terms obtained during the division.
```
Quotient = 3x^2 - 15x
```
Therefore, the quotient of (-9x^3 + 3x^2 - 15x) divided by (-3x) is 3x^2 - 15x.