- #1
graycolor
- 34
- 0
(x^3-2)/(x^2+11x+24) can't seem to simplify this I get x+(-11x^2-24x-2)/(x^2+11x+24) that doesn't seem right.
graycolor said:I've thought about doing synthetic division again with the remainder... would that be right. If I did I would get -11 that would cross out with my +11 and add a remainder.
Synthetic division is a simplified method of polynomial division used to divide a polynomial by a linear factor. It is commonly used to find the roots or zeros of a polynomial function.
Synthetic division is a quicker and simpler method compared to long division. It involves using the coefficients of the polynomial rather than writing out the full polynomial. It also eliminates the need for constantly rewriting the variable terms.
The steps for synthetic division are:
1. Arrange the polynomial in descending order.
2. Write the opposite of the constant term of the divisor as the first number in the synthetic division box.
3. Bring down the first coefficient of the polynomial into the first row of the box.
4. Multiply the number in the first row by the number in the first column and write the result in the second row.
5. Add the numbers in the second row and write the result in the third row.
6. Repeat steps 4 and 5 until all coefficients have been used.
7. The last number in the last row is the remainder and the previous numbers represent the coefficients of the quotient.
Synthetic division is most commonly used when dividing a polynomial by a linear factor. It can also be used to find the rational roots of a polynomial function.
Yes, synthetic division can only be used when dividing by a linear factor. It cannot be used to divide by a polynomial of a higher degree or when the divisor has a degree greater than one. Additionally, it can only be used for polynomials with numerical coefficients.