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Transcript of 2 + 3 3 4 1 - 6 7 11 4 - 3 8. 1. 4x 2 y(2x – 3y) 2. 2ac(7a+9c – 1) 3. (x-6)(x+6) 4. (2x...
![Page 1: 2 + 3 3 4 1 - 6 7 11 4 - 3 8. 1. 4x 2 y(2x – 3y) 2. 2ac(7a+9c – 1) 3. (x-6)(x+6) 4. (2x – 5)(2x+5) 5. 8x(x – 3)(x+3) 6. (x – 3)(x.](https://reader036.fdocuments.in/reader036/viewer/2022082517/56649edb5503460f94beb803/html5/thumbnails/1.jpg)
Bell Assignment: Perform the indicated operations.
1. 2 + 3 3 4
2. 1 - 6 7 11
3.4 - 3 8
![Page 2: 2 + 3 3 4 1 - 6 7 11 4 - 3 8. 1. 4x 2 y(2x – 3y) 2. 2ac(7a+9c – 1) 3. (x-6)(x+6) 4. (2x – 5)(2x+5) 5. 8x(x – 3)(x+3) 6. (x – 3)(x.](https://reader036.fdocuments.in/reader036/viewer/2022082517/56649edb5503460f94beb803/html5/thumbnails/2.jpg)
FACTORING POLYNOMIALS ANSWERS
1. 4x2y(2x – 3y) 2. 2ac(7a+9c – 1) 3. (x-6)(x+6) 4. (2x – 5)(2x+5) 5. 8x(x – 3)(x+3) 6. (x – 3)(x2 + 3x +9) 7. (x + 2) (x2 – 2x + 4)
8. 2x (x + 4) (x2- 4x +16)
9. (x – 4) (x – 4) 10. (2x + 5) (2x + 5) 11. (3x – y) (3x – y) 12. (x – 7) (x+5) 13. (x – 4)(x+3) 14. (x – 5)(x – 4)
![Page 3: 2 + 3 3 4 1 - 6 7 11 4 - 3 8. 1. 4x 2 y(2x – 3y) 2. 2ac(7a+9c – 1) 3. (x-6)(x+6) 4. (2x – 5)(2x+5) 5. 8x(x – 3)(x+3) 6. (x – 3)(x.](https://reader036.fdocuments.in/reader036/viewer/2022082517/56649edb5503460f94beb803/html5/thumbnails/3.jpg)
FACTORING POLYNOMIALS ANSWERS 15. (2x +3)(x – 7) 16. (4x +3)(x+1) 17. (3x + 2)(2x +5) 18. (3x – 8)(x+1) 19. (x – 2y)(x+1) 20. (a – b)(a +b)(x+y) 21. 3 (x+2)(x – 1)
(x+1)
![Page 4: 2 + 3 3 4 1 - 6 7 11 4 - 3 8. 1. 4x 2 y(2x – 3y) 2. 2ac(7a+9c – 1) 3. (x-6)(x+6) 4. (2x – 5)(2x+5) 5. 8x(x – 3)(x+3) 6. (x – 3)(x.](https://reader036.fdocuments.in/reader036/viewer/2022082517/56649edb5503460f94beb803/html5/thumbnails/4.jpg)
Day Two
Adding/ Subtracting Rational Expressions
![Page 5: 2 + 3 3 4 1 - 6 7 11 4 - 3 8. 1. 4x 2 y(2x – 3y) 2. 2ac(7a+9c – 1) 3. (x-6)(x+6) 4. (2x – 5)(2x+5) 5. 8x(x – 3)(x+3) 6. (x – 3)(x.](https://reader036.fdocuments.in/reader036/viewer/2022082517/56649edb5503460f94beb803/html5/thumbnails/5.jpg)
Steps for finding a common denominator
1.Put one denominator over the other 2.Reduce ** If the fraction does not reduce then set it equal to itself**3. Cross multiply **This is the common denominator**
![Page 6: 2 + 3 3 4 1 - 6 7 11 4 - 3 8. 1. 4x 2 y(2x – 3y) 2. 2ac(7a+9c – 1) 3. (x-6)(x+6) 4. (2x – 5)(2x+5) 5. 8x(x – 3)(x+3) 6. (x – 3)(x.](https://reader036.fdocuments.in/reader036/viewer/2022082517/56649edb5503460f94beb803/html5/thumbnails/6.jpg)
1. Put one denominator over the other
2. Reduce:
3. Cross multiply to find common denominator:
10 = 5 . 42 21
10 42
210
Find the common denominator
for 3 and 5 10 42
![Page 7: 2 + 3 3 4 1 - 6 7 11 4 - 3 8. 1. 4x 2 y(2x – 3y) 2. 2ac(7a+9c – 1) 3. (x-6)(x+6) 4. (2x – 5)(2x+5) 5. 8x(x – 3)(x+3) 6. (x – 3)(x.](https://reader036.fdocuments.in/reader036/viewer/2022082517/56649edb5503460f94beb803/html5/thumbnails/7.jpg)
Find the common denominator of 6 and 2 7 23
1.Put one denominator over the other:
2.Reduce :
3.Cross multiply to find common denominator:
7 . 23
Does not reduce set equal to itself 7 = 7 . 23 23
161
![Page 8: 2 + 3 3 4 1 - 6 7 11 4 - 3 8. 1. 4x 2 y(2x – 3y) 2. 2ac(7a+9c – 1) 3. (x-6)(x+6) 4. (2x – 5)(2x+5) 5. 8x(x – 3)(x+3) 6. (x – 3)(x.](https://reader036.fdocuments.in/reader036/viewer/2022082517/56649edb5503460f94beb803/html5/thumbnails/8.jpg)
Find the common denominator for: 2 and 3
x+2 x2 - 4
1.Put one denominator over the other: When dealing with variables it is best to factor denominators!!
2.Reduce
3.Cross Multiply
x+2 (x+2)(x-2)
x+2 = 1 (x+2)(x-2) x-2
(x+2)(x-2)
![Page 9: 2 + 3 3 4 1 - 6 7 11 4 - 3 8. 1. 4x 2 y(2x – 3y) 2. 2ac(7a+9c – 1) 3. (x-6)(x+6) 4. (2x – 5)(2x+5) 5. 8x(x – 3)(x+3) 6. (x – 3)(x.](https://reader036.fdocuments.in/reader036/viewer/2022082517/56649edb5503460f94beb803/html5/thumbnails/9.jpg)
Perform the indicated operation: 1 + 2 3 5
11 15
![Page 10: 2 + 3 3 4 1 - 6 7 11 4 - 3 8. 1. 4x 2 y(2x – 3y) 2. 2ac(7a+9c – 1) 3. (x-6)(x+6) 4. (2x – 5)(2x+5) 5. 8x(x – 3)(x+3) 6. (x – 3)(x.](https://reader036.fdocuments.in/reader036/viewer/2022082517/56649edb5503460f94beb803/html5/thumbnails/10.jpg)
Perform the indicated operation: 2 + 3 x x2
1.Find common denominator:
2.Add fractions:
x2
2x+3 x2
![Page 11: 2 + 3 3 4 1 - 6 7 11 4 - 3 8. 1. 4x 2 y(2x – 3y) 2. 2ac(7a+9c – 1) 3. (x-6)(x+6) 4. (2x – 5)(2x+5) 5. 8x(x – 3)(x+3) 6. (x – 3)(x.](https://reader036.fdocuments.in/reader036/viewer/2022082517/56649edb5503460f94beb803/html5/thumbnails/11.jpg)
Perform the indicated operation: 3 + 4 x-2 x+21.Find the common denominator:
2.Add the fractions:
(x-2)(x+2)
7x – 2 x2 - 4
![Page 12: 2 + 3 3 4 1 - 6 7 11 4 - 3 8. 1. 4x 2 y(2x – 3y) 2. 2ac(7a+9c – 1) 3. (x-6)(x+6) 4. (2x – 5)(2x+5) 5. 8x(x – 3)(x+3) 6. (x – 3)(x.](https://reader036.fdocuments.in/reader036/viewer/2022082517/56649edb5503460f94beb803/html5/thumbnails/12.jpg)
Perform the indicated operation: 4 - 3 x x – 3 1.Common denominator:
2.Subtract Fractions:
x(x – 3)
x – 12 x(x – 3)
![Page 13: 2 + 3 3 4 1 - 6 7 11 4 - 3 8. 1. 4x 2 y(2x – 3y) 2. 2ac(7a+9c – 1) 3. (x-6)(x+6) 4. (2x – 5)(2x+5) 5. 8x(x – 3)(x+3) 6. (x – 3)(x.](https://reader036.fdocuments.in/reader036/viewer/2022082517/56649edb5503460f94beb803/html5/thumbnails/13.jpg)
Perform the indicated operation: 5 - 6x x – 2 x2 + 2x1.Common Denominator:
2.Subtract Fractions:
x (x – 2)(x + 2)
- x+22 (x+2)(x-2)
![Page 14: 2 + 3 3 4 1 - 6 7 11 4 - 3 8. 1. 4x 2 y(2x – 3y) 2. 2ac(7a+9c – 1) 3. (x-6)(x+6) 4. (2x – 5)(2x+5) 5. 8x(x – 3)(x+3) 6. (x – 3)(x.](https://reader036.fdocuments.in/reader036/viewer/2022082517/56649edb5503460f94beb803/html5/thumbnails/14.jpg)
Perform the indicated operation: 3x + 2
x+4 x2 – 16 1.Common Denominator:
2.Add Fractions:
(x+4)(x-4)
3x2 – 12x + 2 x2 – 16
![Page 15: 2 + 3 3 4 1 - 6 7 11 4 - 3 8. 1. 4x 2 y(2x – 3y) 2. 2ac(7a+9c – 1) 3. (x-6)(x+6) 4. (2x – 5)(2x+5) 5. 8x(x – 3)(x+3) 6. (x – 3)(x.](https://reader036.fdocuments.in/reader036/viewer/2022082517/56649edb5503460f94beb803/html5/thumbnails/15.jpg)
Perform the indicated operation: 6 - 3 x – 1
![Page 16: 2 + 3 3 4 1 - 6 7 11 4 - 3 8. 1. 4x 2 y(2x – 3y) 2. 2ac(7a+9c – 1) 3. (x-6)(x+6) 4. (2x – 5)(2x+5) 5. 8x(x – 3)(x+3) 6. (x – 3)(x.](https://reader036.fdocuments.in/reader036/viewer/2022082517/56649edb5503460f94beb803/html5/thumbnails/16.jpg)
Perform the indicated operation: 3x + 4 x – 5