# How do you divide #( -x^3+ 4x^2+8x-7 )/(x - 2 )#?

Utilizing the divisor as a factor in the numerator is one method.

By signing up, you agree to our Terms of Service and Privacy Policy

To divide (-x^3 + 4x^2 + 8x - 7) by (x - 2), you can use long division or synthetic division. Here is the step-by-step process using long division:

- Divide the first term of the numerator (-x^3) by the first term of the denominator (x). The result is -x^2.
- Multiply the entire denominator (x - 2) by the result obtained in step 1 (-x^2), and write the product below the numerator. -x^2 * (x - 2) = -x^3 + 2x^2
- Subtract the product obtained in step 2 from the numerator (-x^3 + 4x^2 + 8x - 7) by subtracting term by term. (-x^3 + 4x^2 + 8x - 7) - (-x^3 + 2x^2) = 2x^2 + 8x - 7
- Bring down the next term from the numerator (-7) and append it to the result obtained in step 3 (2x^2 + 8x - 7).
- Divide the first term of the new expression (2x^2) by the first term of the denominator (x). The result is 2x.
- Multiply the entire denominator (x - 2) by the result obtained in step 5 (2x), and write the product below the new expression. 2x * (x - 2) = 2x^2 - 4x
- Subtract the product obtained in step 6 from the new expression (2x^2 + 8x - 7) by subtracting term by term. (2x^2 + 8x - 7) - (2x^2 - 4x) = 12x - 7
- Since there are no more terms in the numerator, the division is complete. The quotient is -x^2 + 2x + 2 with a remainder of (12x - 7)/(x - 2).

Therefore, the division of (-x^3 + 4x^2 + 8x - 7) by (x - 2) is equal to -x^2 + 2x + 2 with a remainder of (12x - 7)/(x - 2).

By signing up, you agree to our Terms of Service and Privacy Policy

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.

- How do you find the quotient of #(9m^2+5m)div6m#?
- How do you multiply #(a^2-a-12)/(a^2-5a+4)*(a^2+2a-3)/(a^2+a-6)#?
- How do you combine like terms in #(7p ^ { 4} - 3) - ( 3p ^ { 2} - 6) + ( 2p ^ { 4} + 6p ^ { 2} )#?
- How do you simplify #12/(x^2-x) * (x^2-1)/(4x-2)#?
- How do you evaluate #3.5/7 \times 3.06\div 3#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7