5.4 – Factor and Solve Polynomial Functions

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Presentation transcript:

5.4 – Factor and Solve Polynomial Functions

5.4 – Factor and Solve Polynomial Functions

5.4 – Factor and Solve Polynomial Functions Example 1: Factor the polynomial completely. x3 + 2x2 – 15x 2y5 – 18y3 4z4 – 16z3 + 16z2

5.4 – Factor and Solve Polynomial Functions

5.4 – Factor and Solve Polynomial Functions Example 2: Factor the polynomial completely. a. x3 + 64 b. 16z5 – 250z2

5.4 – Factor and Solve Polynomial Functions For some polynomials, you can factor by grouping pairs of terms that have a common monomial factor. The pattern for factoring by grouping is shown below: ra + rb + sa + sb = r(a+b) + s(a+b)= (r + s)(a + b)

5.4 – Factor and Solve Polynomial Functions Example 3: Factor the polynomial x3 – 3x2 – 16x + 48

5.4 – Factor and Solve Polynomial Functions Example 4: Factor completely: 16x4 – 81 2p8 + 10p5 + 12p2

5.4 – Factor and Solve Polynomial Functions Example 5: What are the real number solutions of the equation 3x5 + 15x = 18x3?