Factor each trinomial. 1. 16x2 + 40x + 25 (4x + 5)(4x + 5)

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Factoring trinomials ax² + bx +c a = any number besides 1 and 0

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Presentation transcript:

Factor each trinomial. 1. 16x2 + 40x + 25 (4x + 5)(4x + 5) 2. 9x2 – 25y2 (3x + 5y)(3x – 5y)

Objectives Combine methods for factoring a polynomial.

Choosing a Method Is it a difference of two squares? Step 1 Is it a difference of two squares? Step 2 Should you group it? (four terms) Step 3 Is there a GCF for each term? Step 4 Is it a perfect square trinomial?

Finished = cannot be factored any more.

Factor 10x2 + 48x + 32

Factor 8x6y2 – 18x2y2

Factor 4x3 + 16x2 + 16x

Factor 2x2y – 2y3

Factor 2x4 + 18

Factor each polynomial completely. 1. x3 + 4x2 + 3x + 12 2. 4x2 + 16x – 48 4(x + 6)(x – 2) (x + 4)(x2 + 3) 3. 18x2 – 3x – 3 4. 18x2 – 50y2 3(3x + 1)(2x – 1) 2(3x + 5y)(3x – 5y) 5. 5x – 20x3 + 7 – 28x2 (1 + 2x)(1 – 2x)(5x + 7)