Algebra II: Section 5-2 Day 1 Dividing Polynomials Long Division To divide a polynomial by a monomial, use the skills learned in Lesson 5-1. To divide a polynomial by a polynomial, use a long division pattern. Remember that only like terms can be added or subtracted. Example 1: Simplify = – – = – – = 4pt 3p –7qr – Example 2: Use long division to find ( 8 + 4x 9) ÷ (x 4). – – – 4x 12 – – 4 x – (–) 4 – + 4x –4 (–)–4 + 16x 9 –12x – (–)–12x + 48 –57 The quotient is 4x 12, and the remainder is – – –57. Therefore = 4x 12 . – – – Exercises: Simplify. 1. 2. 3. 4. (2 5x 3) ÷ (x 3) 5. ( 3m 7) ÷ (m + 2) – – – – – 6. ( 6) ÷ (p 1) 7. ( 6 + 1) ÷ (t + 2) – – – 8. ( 1) ÷ (x 1) 9. (2 5 + 4x 4) ÷ (x 2) – – – – –
Algebra II: Section 5-2 Day 1 Dividing Polynomials Long Division To divide a polynomial by a monomial, use the skills learned in Lesson 5-1. To divide a polynomial by a polynomial, use a long division pattern. Remember that only like terms can be added or subtracted. Example 1: Simplify = – – = – – = 4pt –7qr – 3p Example 2: Use long division to find ( – 8 + 4x – 9) ÷ (x – 4). – 4x – 12 x – 4 (–) – 4 –4 + 4x (–)–4 + 16x –12x – 9 (–)–12x + 48 –57 The quotient is – 4x – 12, and the remainder is –57. Therefore = – 4x – 12 – . Exercises: Simplify. 1. 2. 3. 4. (2 – 5x – 3) ÷ (x – 3) 5. ( – 3m – 7) ÷ (m + 2) 6. ( – 6) ÷ (p – 1) 7. ( – 6 + 1) ÷ (t + 2) 8. ( – 1) ÷ (x – 1) 9. (2 – 5 + 4x – 4) ÷ (x – 2)
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