# How do you divide #(3x^2-10x)div(x-6)# using synthetic division?

The answer is

Now let's divide that long way.

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To divide (3x^2 - 10x) by (x - 6) using synthetic division, follow these steps:

- Write down the coefficients of the dividend (in this case, (3x^2 - 10x)) in descending order, including any missing terms. So, the coefficients are (3), (-10), and (0).
- Write down the root of the divisor (in this case, (x - 6)). Since (x - 6 = 0) when (x = 6), write down (6) on the left side of the synthetic division box.
- Bring down the first coefficient (which is (3)).
- Multiply the root (6) by the number at the top of the synthetic division box (which is (3)), and write the result underneath the next coefficient. This gives you (6 \times 3 = 18).
- Add the numbers in the second column: (-10 + 18 = 8). Write this result underneath the line.
- Multiply the root (6) by the result from the previous step (8), and write the result underneath the last coefficient, which is (0). This gives you (6 \times 8 = 48).
- Add the numbers in the third column: (0 + 48 = 48). Write this result underneath the line.
- The numbers at the bottom of the synthetic division box represent the coefficients of the quotient. So, the quotient is (3x + 8), and the remainder is (48). Therefore, the result of dividing (3x^2 - 10x) by (x - 6) using synthetic division is (3x + 8) with a remainder of (48).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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- A rectangular lawn has a length that is 3 yards greater than the width. The area of the lawn is 88 square yards. Write the polynomial equation for the area of the lawn. Use the variable xx to represent the width of the lawn?

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