GOAL: FACTOR TRINOMIALS OF THE FORM AX 2 + BX + C Section 5-4: Factoring ax 2 + bx + c
Warm - Ups (x + 10)(x – 8) (2x – 5)(3x – 4) (4y + 1)(4y + 1) The sides of a rectangle are (s + 2) and (s – 4). Find the area.
Example 1: Factor ax 2 + bx + c when c is positive. Factor: 3x 2 + 7x + 2
2x x + 5 2y 2 + 9y + 7 Checkpoint: Factor the expression.
3r 2 + 8r + 5 3x x + 8 Checkpoint: Factor the expression.
Example 2: Factor ax 2 + bx + c when c is negative. 4x x - 9
6x 2 + x z 2 + z - 12 Checkpoint: Factor the expression.
Example 3: Factor out a common constant. 6x x - 15
8x x w 2 – 6w + 2 Checkpoint: Factor the expression.
Example 4: Find the Zeros of a Quadratic Function y = 3x 2 - x - 4
y = 3x 2 - 2x - 1 y = 2x 2 - 7x + 3 Checkpoint: Find the zeros of the function.
Minimum and Maximum Values
y = (x + 2)(x + 4) y = (x + 4) (x – 8) Find the minimum or maximum value of the function.
HOMEWORK: