How do you divide #(2x^3+9x^2-9x+1) / (2x-3) # using polynomial long division?
The outcome is
Checking:
May God bless you all. I hope this explanation helps.
By signing up, you agree to our Terms of Service and Privacy Policy
To divide (2x^3+9x^2-9x+1) by (2x-3) using polynomial long division, follow these steps:
- Arrange the dividend (2x^3+9x^2-9x+1) and the divisor (2x-3) in descending order of exponents.
- Divide the first term of the dividend (2x^3) by the first term of the divisor (2x). The result is x^2.
- Multiply the divisor (2x-3) by the quotient obtained in step 2 (x^2). The result is 2x^3-3x^2.
- Subtract the product obtained in step 3 from the dividend. (2x^3+9x^2-9x+1) - (2x^3-3x^2) = 12x^2-9x+1.
- Bring down the next term from the dividend (-9x).
- Divide the first term of the new dividend (12x^2) by the first term of the divisor (2x). The result is 6x.
- Multiply the divisor (2x-3) by the quotient obtained in step 6 (6x). The result is 12x^2-18x.
- Subtract the product obtained in step 7 from the new dividend. (12x^2-9x+1) - (12x^2-18x) = 9x+1.
- Bring down the next term from the dividend (9x).
- Divide the first term of the new dividend (9x) by the first term of the divisor (2x). The result is 4.5.
- Multiply the divisor (2x-3) by the quotient obtained in step 10 (4.5). The result is 9x-13.5.
- Subtract the product obtained in step 11 from the new dividend. (9x+1) - (9x-13.5) = 14.5.
- There are no more terms to bring down, and the remainder (14.5) is less than the divisor (2x-3).
- The final quotient is x^2 + 6x + 4.5, and the remainder is 14.5.
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.
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 can you evaluate #2/3+1/4+5/6#?
- How do you combine #[(3x + 2y)/(x - y^2)] - [(2x - 3y)/(x^2 - y)] + [(5x + y)/(y - x^2)]#?
- What are the asymptote(s) and hole(s), if any, of # f(x) =(x^2-1)/(x^4-1) #?
- How do you solve #x/5 - 4/5 = 1/x #?
- How do you simplify #\frac { 2p ^ { 6} q ^ { - 9} } { 6p ^ { 3} q ^ { 6} r ^ { - 4} }#?

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