Divide 14x3 − 21x2 − 7x by −7x
We can use long division to divide 14x3 − 21x2 − 7x by −7x:
```
-2x2 + 3x + 1
__________
-7x | 14x^3 - 21x^2 - 7x + 0
-14x^2 + 21x^2
--------------
0 - 7x
- (0 - 7x)
----------
0
```
Therefore, 14x3 − 21x2 − 7x divided by −7x is equal to −2x2 + 3x + 1.
Divide 18a6b2 by 9a3b
We can use the quotient rule to divide 18a6b2 by 9a3b:
```
18a6b2 ÷ 9a3b = (18 ÷ 9)(a6 ÷ a3)(b2 ÷ b)
= 2a6-3b1
= 2a3b
```
Therefore, 18a6b2 divided by 9a3b is equal to 2a3b.
To divide the polynomial 14x^3 - 21x^2 - 7x by -7x, follow these steps:
Step 1: Divide the first term of the dividend by the divisor.
14x^3 / -7x = -2x^2
Step 2: Multiply the result from Step 1 by the divisor.
-2x^2 * -7x = 14x^3
Step 3: Multiply the divisor by each term of the quotient.
-7x * -2x^2 = 14x^3
-7x * -2x = 14x^2
Step 4: Subtract the results from Step 3 from the original polynomial.
(14x^3 - 21x^2 - 7x) - (14x^3 - 14x^2) = -7x^2 - 7x
The result of dividing 14x^3 - 21x^2 - 7x by -7x is -2x^2 - 2x.