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Notes 33 Dividing Polynomials
Objectives:
Use long division and synthetic division to divide polynomials
Who uses this?
Electricians can divide polynomials in order to find the voltage in an electrical system.
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Notes 33 Dividing Polynomials
Divide a polynomial by a monomial
Ex.
Division Algorithm (Long Division)
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Synthetic Division
Step 1: Write the terms in descending order with respect to their exponent. Then write the coefficients.
Step 2: Write the constant r of the divisior x r. Bring down the first coefficient.
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Step 3: Multiply the first coefficient by r. Write the product under the second coefficient then add.
Step 4: Multiply this sum by r and place under the third coefficient. Repeat until all the coefficients have been used.
Step 5: Start with the power of x one less than the highest power.
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Ex. Use synthetic substitution to evaluate the polynomial for the given value.
for x = 4
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Try these:
Ex. Use synthetic substitution to evaluate the polynomial for the given value.
a. for x =
b. for x = 3
