Factoring Trinomials.

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

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Presentation transcript:

Factoring Trinomials

Please note! Example: x2 – 5x – 6 (x + 1)(x – 6) Example: x2 – 5x + 6

Multiple Variables - Example 1: Factor: a2 + 5ab + 4b2 4 1 · 4 Look for factors of 4 that ADD 2 · 2 to positive 5 (a + 1b) (a + b) (a + 4b) (a + b) or (a + b)(a + 4b)

Now you try! Example: x2 – 13xy + 36y2 (x – 4y)(x – 9y)

More Factoring Trinomials

Example 1: Factor: 6x2 + 17x + 5 6x2 + 17x + 5 Look for factors of 30 that 6x2 + 17x + 5 = 6x2 + 2x + 15x + 5 ADD to positive 17 = (6x2 + 2x) + (15x + 5) = 2x(3x + 1) + 5(3x + 1) = (2x + 5)(3x + 1)

Example 2: Factor: 4h2 + 8h – 5 4h2 + 8h – 5 = 4h2 – 2h + 10h – 5 Look for factors of -20 that 4h2 + 8h – 5 ADD = 4h2 – 2h + 10h – 5 to positive 8 = (4h2 – 2h) + (10h – 5) = 2h(2h – 1) + 5(2h – 1) = (2h + 5)(2h – 1)

Example 3: Factor: 6r2 – 13r + 6 6r2 – 13r + 6 = 6r2 – 9r – 4r + 6 Look for factors of 36 that 6r2 – 13r + 6 ADD to negative 13 = 6r2 – 9r – 4r + 6 = (3r – 2)(2r – 3)

Now you try! 1) 2x2 – 3x – 5 = (2x – 5)(x + 1) 2) 4b2 + 4b – 15