Download presentation

Presentation is loading. Please wait.

Published byMartin Neal Modified over 6 years ago

1
**Warm Up #8 Find the product 2. (5m + 6)(5m – 6) 1. (4y – 3)(3y + 8)**

3. (4q – 5)2 4. Solve x2 – x – 30 = 0. 16q2 – 40q + 25 (x – 6 )(x + 5) = 0 x = 6 or x = -5

3
EXAMPLE 1 Factor 5x2 – 17x + 6. Factors of +30 That add up to -17 (5x )(x ) – 2 – 3 -15 and -2 Factor 3x2 + 20x – 7. Factors of -21 That add up to + 20 (3x )(x ) – 1 + 7 21 and -1

4
**GUIDED PRACTICE GUIDED PRACTICE for Examples 1 and 2 1. 7x2 – 20x – 3**

Factor the expression. If the expression cannot be factored, say so. x2 – 20x – 3 z2 + 16z + 3 Factors of -21 that add up to -20 Factors of 15 that add up to 16 -21 and 1 15 and 1 (7x )(x ) + 1 – 3 (5z )(z ) + 1 + 3 x2 + 5x – 12 w2 + w + 3 Factors of -36 that add up to 5 Factors of 6 that add up to 1 9 and -4 There are none cannot be factored (3x )(x ) – 4 + 3

5
**GUIDED PRACTICE GUIDED PRACTICE for Examples 1 and 2 6. 4x2 – 9x + 2**

u2 + 12u + 5 Factors of 20 that add up to 12 Factors of 8 that add up to -9 10 and 2 -8 and -1 (4u )(u ) (4x )(x ) – 1 – 2 (2u )(2u ) + 1 + 5 (2x )(2x )

6
**Recall: x2 – y2 = (x – y)(x + y)**

Example: 4x2 – 25 = (2x – 5)(2x + 5) Recall: x2 + 2xy + y2 = (x + y)2 Example: 9x2 + 30x + 25 = (3x + 5)2

7
**Factor with special patterns**

EXAMPLE 3 Factor with special patterns Factor the expression. a. 9x2 – 64 = (3x – 8)(3x + 8) Difference of two squares b. 4y2 + 20y + 25 = (2y + 5)2 Perfect square trinomial c w2 – 12w + 1 = (6w – 1)2 Perfect square trinomial

8
EXAMPLE 4 Recall: GCF (Greatest Common Factor) Factor the expression. a. 5x2 – 45 = 5(x2 – 9) = 5(x + 3)(x – 3) b. 6q2 – 14q + 8 = 2(3q2 – 7q + 4) = 2(3q – 4)(q – 1) c. –5z2 + 20z = –5z(z – 4) d. 12p2 – 21p + 3 = 3(4p2 – 7p + 1)

9
**Solve quadratic equations**

EXAMPLE 5 Solve quadratic equations Solve (a) 3x2 + 10x – 8 = 0 a. 3x2 + 10x – 8 = 0 Write original equation. Factors of -24 that add up to 10 Factor. 12 and -2 (3x )(x ) = 0 – 2 + 4 3x – 2 = 0 or x + 4 = 0 Zero product property 3x = 2 Solve for x. or x = –4 x = 23

10
**Solve quadratic equations**

EXAMPLE 5 Solve quadratic equations (b) 5p2 – 16p + 15 = 4p – 5. b. 5p2 – 16p + 15 = 4p – 5. Write original equation. 5p2 – 20p + 20 = 0 Write in standard form. 5(p2 – 4p + 4) = 0 Factor out a 5. p2 – 4p + 4 = 0 Divide each side by 5. (p – 2)2 = 0 Factor. p – 2 = 0 Zero product property p = 2 Solve for p.

Similar presentations

© 2021 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google