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Master Dividing Polynomials: Step-by-Step Guide

Learn how to divide polynomials using long division with detailed steps and examples. Practice problems included for reinforcement.

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Master Dividing Polynomials: Step-by-Step Guide

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

  2. Steps for Long Division • Steps for Long Division • Write the dividend instandard form, includingterms 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) 6-3: Dividing Polynomials

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

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

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

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

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

  8. 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. 6-3: Dividing Polynomials

  9. Assignment Pg 426 (2-4, 12-18 omit 17) 6-3: Dividing Polynomials

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