1. 6-3: Dividing Polynomials
SECTION 6-3
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6-3: Dividing Polynomials

2. Steps for Long Division
Write the dividend in standard form, including terms with a coefficient of 0.
Write division in the same way you would when dividing numbers.
Multiply the answer by the divisor and then subtract
Subtracting involves multiplying by -1
Repeat process until it can not be done
Leftover is remainder; (Just like division)
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6-3: Dividing Polynomials

3. 6-3: Dividing Polynomials
Example 1
Divide using Long Division (x2 – 5x + 4) ÷ (x – 1)
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6-3: Dividing Polynomials

4. 6-3: Dividing Polynomials
Example 2
Divide (4x2 + 3x3 + 10) ÷ (x – 2) using long division
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6-3: Dividing Polynomials

5. 6-3: Dividing Polynomials
Example 3
Divide using Long Division (x3 – 28x – 48) ÷ (x + 4)
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6-3: Dividing Polynomials

6. 6-3: Dividing Polynomials
Example 4
Divide using Long Division (2x2 + 3x – 4) ÷ (x – 2) –
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6-3: Dividing Polynomials

7. 6-3: Dividing Polynomials
Example 5
Divide using long division, (12x4 – 5x2 – 3) ÷ (3x2 + 1)
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6-3: Dividing Polynomials

8. 6-3: Dividing Polynomials
Example 6
Find an expression for the height of a parallelogram whose area is represented by 2x3 – x2 – 20x + 3 and whose base is represented by 2x + 3.
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6-3: Dividing Polynomials

9. 6-3: Dividing Polynomials
Assignment
Pg 426 (2-4, omit 17)
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6-3: Dividing Polynomials