6.6 Factoring Polynomials

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Presentation transcript:

6.6 Factoring Polynomials Difference of Two Squares Sum of Two Cubes Difference of Two Cubes Quotients of Polynomials

Factoring Techniques Difference of Two Squares Example 1: Check your factoring with FOIL

Factoring Techniques Sum of Two Cubes Example 2: Check your factoring with FOIL S: (1st) Same Sign O: (2nd) Opposite Sign A: (3rd) Always P: (3rd) Positive

Factoring Techniques Difference of Two Cubes Example 3: Check your factoring with FOIL * S O A P *

Factor each polynomial. a. Ex. 4 Factor each polynomial. a. b. c. d. Answer: Answer: Answer: Answer:

Quadratic Form Writing a polynomial in the form ax2 + bx + c Example 5: Write the expression in quadratic form. x4 + 13x2 + 36 (x2)2 + 13(x2) + 36 Example 6: Write the expression in quadratic form. 9x10 – 15x4 + 9 Can’t be written in quadratic form since x10 = (x4)2

Solve the equation: x4 – 29x2 + 100 = 0 Hint: Solve by Factoring Ex. 7 Solve the equation: x4 – 29x2 + 100 = 0 Hint: Solve by Factoring Answer: x = -5, -2, 2, 5