Section 5-3: Factoring x2 + bx + cGoal: Factor trinomials of the form x2 + bx + c

Warm Ups•Find the product:•1. (m – 8)(m – 9)

•2. (z + 6)(z – 10)

•3. (y + 20)(y – 20)

•4. (d + 9) 2

Signs:Problem Answer+ + ( + )( + )- + ( - )( - )+ - Different signs,- - Bigger number gets first sign

Example 1: Factor x2 + bx + c when c is positiveA. x2 + 5x + 6 B. y2 – 6y + 8

Additional Examples:A. x2 + 14x + 48 B. x2 – 5x + 6

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Example 2: Factor x2 + bx + c when c is negativeA. x2 + 8x - 9 B. z2 – 14z - 15

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Checkpoint:• x2 + 6x + 5

• b2 + 7b + 12

• s2 – 5s + 4

• y2 + 11y – 12

• x2 + x – 6

• x2 - 15x - 16

Example 3: Solve a Quadratic Equation by factoring•x2 + 2x = 15

Checkpoint:x2 - x = 42 y2 + 5y = 14

Checkpoint:x2 – 10x + 9 = 0 x2 - 5x = -4

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