Download presentation

Presentation is loading. Please wait.

Published byLandon Hurst Modified over 4 years ago

1
Factor Difference of Squares 8-5 page 109, # 1 x 2 – 81 When the last term is negative, what are the signs? Both positive? Both negative? Mixed? (+)(+) (-)(-) (+)(-)

2
8-5 page 109, # 1 Difference of two squares x 2 – 81 The last term is negative, so the signs are mixed. Mult to 81; subtracts to 0. (x+9)(x-9)

3
8-5 page 109, # 1 Difference of two squares x 2 – 81 Easier Way Make signs mixed Square Root each term (x+9)(x-9)

4
8-5 page 109, # 1 Difference of two squares x 2 + 81 Cannot factor. has + (sum) If it had a minus, it would factor.

5
8-5 page 109, # 4 Difference of two squares 36x 2 – 100y 2 GCF: 4 Make signs mixed Square Root each term 4(9x 2 – 25y 2 ) 4(3x+5y)(3x-5y)

6
8-5 page 109, # 12 Difference of two squares 8y 2 – 200 GCF:8 8(y 2 – 25) Mixed signs; square roots 8(y+5)(y-5)

7
8-5 page 109, # 10 Difference of two squares - 81 + a 4 GCF: none Flip around a 4 – 81 Mixed signs; square roots (a 2 +9)(a 2 -9) factors more (a 2 + 9)(a + 3)(a – 3)

8
Factor Trinomials 8-5 page 109, # 21 3x 4 + 6x 3 – 3x 2 – 6x GCF:3x x 3 + 2x 2 – x – 2 = 0 Group them (x 3 + 2x 2 )+(– x – 2) = 0 x 2 (x + 2) – 1(x + 2) = 0 (x 2 – 1) (x + 2) = 0

9
Factor Trinomials 8-5 page 110, # 1 81x 2 = 49 set equal to 0 81x 2 - 49 = 0 Difference of two Squares (9x + 7)(9x – 7) = 0

10
Factor Trinomials 8-5 page 110, # 4 1x 2 = 25 set equal to zero 4 1x 2 – 25 = 0 4 Next mult by denominator

11
Factor Trinomials 8-5 page 110, # 4 1x 2 – 25 = 0 set equal to 0 4 mult by denominator x 2 – 100 = 0 (x + 10)(x – 10) = 0

12
Factor Trinomials 8-5 page 111, # 1 x 2 – 16x + 64 Same Signs: both negative. (x – 8) (x – 8) (x – 8) 2

13
Factor Trinomials 8-5 page 111, # 2 m 2 + 10m + 25 Same Signs: both positive. (m + 5) (m + 5) (m + 5) 2

14
Factor Trinomials Prime: cannot factor x 2 + 10x + 3 Same Signs: both positive. But what mult to 3; adds to 10? Nothing 1 times 3 = 3 but 1 + 3 = 4 Prime; does not factor

15
Prime Trinomials Not everything factors x 2 + nx + 8 8 x 1; 8+1; 4 x 2; 4 + 2; Only factors if middle term is 9 or 6. x 2 + 9x + 8 = (x + 8)(x + 1) x 2 + 6x + 8 = (x + 4)(x + 2) x 2 + 3x + 8 = Does not factor (Prime)

Similar presentations

OK

Objective: To solve quadratic equations by completing the square.

Objective: To solve quadratic equations by completing the square.

© 2018 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