Download Unit 3 - Polynomial Functions

Unit 6 - Polynomial Functions
Name: _______________________________
Algebra 2: 6 – 2 Polynomials and Linear Factors Worksheet
Directions: Write the polynomial functions in standard form. Show your work!!!!
1. y  x  2x  1
2. y  2x  9x  2
3. y  x  2x  1x  1
4. y  x  9x  2x  4
5. y  x  2x  1x  3
6. y  xx  5
7. y  2x2x  1x  2
8. y   x  3  x  1
2
2
Directions: Write each polynomial in factored form. Show all of your work!!!
9. y  x 3  36 x
10. y  x 3  8 x 2  16 x
11. y  x 3  7 x 2  10 x
12. y  x 3  7 x 2  18 x
13. y  5x 3  5x
14. y  x 3  x 2  9 x  9
Directions: Find the zeros for each function.
15. y  x  1x  2
16. y  x  2x  9
17. y  xx  5x  8
18. y  x  4( x  4)
19. y  x2x  1( x  7)
20. y  x  1x  1x  2
Directions: Write the polynomial function. Keep your answer in factored form.
21. x  1,  2,  3
22. x  5,  2, 0
23. x  2,  1, 0, 4
Unit 6 - Polynomial Functions
Name: _______________________________
Algebra 2: 6 – 2 Polynomials and Linear Factors Worksheet Day #2
Directions: Write each polynomial in factored form. Show all of your work!!!
1. y  2 x 3  10 x 2  12 x
2. y  x 4  x 3  6x 2
3. y  3x 3  18 x 2  27 x
4. y  2 x 3  2 x 2  40 x
Directions: Write a polynomial function in standard form using the given zeros.
5. x  1, 2, 3
6. x  1,  1,  2
1
7. x  0, ,  3
2
8. x  4,  6,  1
9. x  5, 2, 4
10. x  1,  1, 3
Directions: Find the zeros of each function. State the multiplicity of multiple zeros.
11. y  xx  8x  2
12. y  x  1x  7 
14. y  6 x 2 x  8
15. y  2x  1x  5x  3
2
13. y  3x  2x  5x  5
16. y  x 3 x  1
Directions: Find the zeros for each function. State the multiplicity of multiple zeros.
17. y  x 4  2 x 3  x 2
18. y  x 3  10 x 2  25 x
20. y  x 4  6 x 3  8x 2
21. y  2 x 3  x 2  x
19. y  2 x 3  16 x 2  32 x
22. y  x 4  x 3  12x 2