Factoring Polynomials Chapter 7 Factoring Polynomials

Sect. 7.1 Greatest Common Factor and Factoring by Grouping Ex. 1 Sect. 7.1 Greatest Common Factor and Factoring by Grouping

Greatest Common Factor Ex. 2

Understand the Relationship Between Multiplying Polynomials and Factoring Polynomials Ex. 3

Factor Out the Greatest Common Monomial Factor Ex. 4 Factor out the greatest common factor of 12a5 + 30a4 + 6a3

Factoring Out a Negative Factor Ex. 5

Factor Out the Greatest Common Binomial Factor Ex. 6 Factor out the greatest common factor in x(y + 2) + 9(y + 2)

Factor by Grouping Ex.7 Factor by grouping: ab + 5a + 3b + 15

Factor Completely Ex. 8

Sect. 7.2 Factoring Trinomials of the Form x2 + bx + c Practice Arithmetic Skills Ex. 1 Find two integers that multiply to 10 and add up to 7

Factor a Trinomial of the Form x2 + bx + c Ex. 2 Factor y2 - 8y + 15

Factor Out the GCF and then Factor a Trinomial of the Form x2 + bx + c Ex. 3

Factor a Trinomial Containing Two Variables Ex. 4

Sect. 7.3 Factoring Trinomials of the Form ax2 + bx + c Ex. 1 Factor 10p2 - 13p + 4 completely

Factor by Trial and Error Ex. 2

Factor by Trial and Error continued

Another Example of Trial and Error

Another Example of Trial and Error cont.

Factor Completely Ex. 5 Factor 12d2 + 46d - 8 completely.

Sect. 7.4 Factoring Binomials and Perfect Square Trinomials Ex. 1

Factor Perfect Square Trinomials Ex. 2 Factor 4p3 + 24 p2 + 36p completely.

Factoring the Difference of Two Squares

Factor Completely Ex. 4 Factor 128t - t3 completely

Factoring the Sum and Difference of Two Cubes Ex. 5 Factor n3 + 8

Factoring Difference of Two Cubes with a GCF Ex. 6

Mid-Chapter Summary Ex. 1 Factor 12a2 - 27b2

Sect. 7.5 Solving Quadratic Equations by Factoring

Solve a Quadratic Equation of the Form ab = 0 where a and b are Linear Factors Ex. 1

Solve ax2 + bx +c = 0 by Factoring Ex. 2

Solve Other Quadratic Equations by Factoring Ex. 3 Solve the equation 2r2 + 3r = 20 by factoring.

Solve Higher Degree Equations by Factoring Ex. 4

Sect. 7.6 Applications of Quadratic Equations

Problem Involving Geometry continued

Solve Problems Involving Consecutive Integers

Solve Problems Involving Consecutive Integers continued

The Pythagorean Theorem

Example of Pythagorean Theorem Problem

Solve an Applied Problem Using the Pythagorean Theorem Ex. 4

Solve an Applied Problem Using the Pythagorean Theorem continued

Solve an Applied Problem Using a Given Quadratic Equation

Solve an Applied Problem Using a Given Quadratic Equation continued

Factor ax2 + bx + c by Trial and Error Ex. 3 Factor ax2 + bx + c by Trial and Error