Do Now 1) Factor. 3a2 – 26a + 35.

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Presentation transcript:

Do Now 1) Factor. 3a2 – 26a + 35

Homework Solutions 12x(x – 3) (x + 4)(x + 2) (x – 10)(x + 9) (3g + 10)(3g – 10) (2m – 3y)(2m + 3y) (x + 10)(x – 3) 3(h2 – 16) = 3(h – 4)(h + 4) 2(w2 – 5w – 36)= 2(w – 9)(w + 4)

Homework Solutions 9) 3m2 + 6m + 5m + 10 (3m2 + 6m) (+ 5m + 10)

Homework Solutions 10) 6x2 – 9x + 8x – 12 (6x2 – 9x) (+ 8x – 12)

Homework Solutions 11) 8y2 + 10y + 4y + 5 (8y2 + 10y) (+ 4y + 5)

Homework Solutions 12) 12p2 – 15p + 4p – 5 (12p2 – 15p) (+ 4p – 5)

Zero Product Property If two numbers multiply to zero, then either one or both numbers have to equal zero. If a • b = 0 then either a=0, b=0, or both a and b equal 0.

2. Solve (x + 3) (x – 5) = 0

3. Solve (2a + 4) (a + 7) = 0

4. Solve (3t + 5) (t – 3) = 0

Quadratic Equations A quadratic equation is an equation that contains a variable squared in it, and no higher powers of the variable. Ex: x2 + 3x – 10 = 0 y2 – 16 = 0 6a + a2 = 16

Solving Quadratic Equations The zero product property can be used to solve quadratic equations. Steps: 1) Set the equation equal to zero. * You want the squared term to be positive 2) Factor. 3) T out. 4) Check with your calculator.

5. x2 + 4x + 3 = 0

6. x2 + 2x = 15

7. v2 = -6v + 27

8. Solve. a2 – 40 = 3a {-8, 5} {-5, 8} {-8, -5} {5, 8}

9. x2 – 9 = 0

10. x2 = 36

11. 9r2 = 16

Solving By Factoring HW #1 Homework Solving By Factoring HW #1