6­3 Day 1 Dividing Polynomials web.notebook January 14, 2010 6.3 Dividing Polynomials Day 1 Objective: Divide polynomials using long division. Jan 8­9:41 AM 1 6­3 Day 1 Dividing Polynomials web.notebook January 14, 2010 Check Skills You'll Need Simplify each expression. 1. (x + 3)(x ­ 4) + 2 2. (2x + 1)(x ­ 3) 3. (x + 2)(x + 1) ­ 11 4. ­3(2 ­ x)(x + 5) Jan 8­9:46 AM 2 6­3 Day 1 Dividing Polynomials web.notebook January 14, 2010 L o n g Division Blast from the Past: 1. Use long division to divide 5580 by 12. Is 12 a factor of 5580? 2. Use long division to divide 4789 by 23. Is 23 a factor of 4789? Jan 8­9:46 AM 3 6­3 Day 1 Dividing Polynomials web.notebook January 14, 2010 The remainder is ________ when you divide by a factor. Jan 8­10:23 AM 4 6­3 Day 1 Dividing Polynomials web.notebook January 14, 2010 L o n g Division Try something NEW: 1. Use long division to divide 42x2 by 2x. Is 2x a factor of 42x2? 2. Use long division to divide 32x2 by 4x. Is 4x a factor of 32x2? Jan 8­9:46 AM 5 6­3 Day 1 Dividing Polynomials web.notebook January 14, 2010 L o n g Division Time for a Challenge: 1. Use long division to divide x2 + 3x ­ 12 by x ­ 3. Is x ­ 3 a factor of x2 + 3x ­ 12? Jan 8­9:46 AM 6 6­3 Day 1 Dividing Polynomials web.notebook January 14, 2010 L o n g Division Time for a Challenge: 2. Use long division to divide x2 ­ 3x + 1 by x ­ 4. Is x ­ 4 a factor of x2 ­ 3x + 1? Jan 8­9:46 AM 7 6­3 Day 1 Dividing Polynomials web.notebook January 14, 2010 L o n g Division Time for a Challenge: 3. Use long division to divide x2 + 6x + 8 by x + 4. Is x + 4 a factor of x2 + 6x + 8? Jan 8­9:46 AM 8 6­3 Day 1 Dividing Polynomials web.notebook January 14, 2010 L o n g Division Time for a Challenge: 4. Use long division to divide x3 + 3x2 ­ 6x ­ 7 by x + 4. Is x + 4 a factor of x3 + 3x2 ­ 6x ­ 7? Jan 8­9:46 AM 9 6­3 Day 1 Dividing Polynomials web.notebook January 14, 2010 L o n g Division Time for a Challenge: 5. Use long division to divide x3 ­ 4x2 + 3x + 2 by x + 2. Is x + 2 a factor of x3 ­ 4x2 + 3x + 2? Jan 8­9:46 AM 10 6­3 Day 1 Dividing Polynomials web.notebook January 14, 2010 L o n g Division Time for a Challenge: 6. Use long division to divide 2x3 ­ 9x2 + 15 by 2x ­ 5. Is 2x ­ 5 a factor of 2x3 ­ 9x2 + 15? Hint: Make room for the x term not listed. Jan 8­9:46 AM 11 6­3 Day 1 Dividing Polynomials web.notebook January 14, 2010 Homework: page 324 (1 ­ 12) Jan 8­9:48 AM 12