Solving Polynomials­­Long Division and Synthetic.notebook
May 16, 2017
Synthetic Division Steps
Synthetic Division * A shorter way to do long division
* Only works with linear binomials
* The remainder of synthetic division indicates if the divisor is a factor of the dividend.
1. Arrange terms in descending order and put in zeros for any missing powers of y. Write the coefficients.
2. Write the constant of the divisor. Remember the divisor is y ­ c.
3. Bring down the first coefficient.
4. Multiply the first coefficient by the constant of the divisor. Write the answer under the next coefficient and add. 5. Repeat step four for all coefficients.
**The final sum represents the remainder and the other numbers are the coefficients of the quotient polynomial.
Divide (­y6 + 4y4 + 3y2 + 2y) by (y + 2) using synthetic division.
**The quotient polynomial will always
be one degree less than the original and is called a depressed polynomial.
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Solving Polynomials­­Long Division and Synthetic.notebook
Divide x3 + x2 ­ 17x + 15 by x + 5
using synthetic division. Solve the resulting quadratic.
State the zeros of the function.
May 16, 2017
Divide x3 ­ 2x2 ­ 13x ­ 10 by x ­ 5 using synthetic division. Solve the resulting quadratic.
State the zeros of the function.
Divide x3 ­ x2 + 2x ­ 8 by x ­ 2. Solve the resulting quadratic.
State the zeros of the function.
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