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5.1 – 5.3 Review

5.1 – 5.3 Review. Question and Answer Samples and Techniques. Simplify the expression: (x 4 y -2 )(x -3 y 8 ). xy 5. Simplify the expression:. b 15 /a 5. Simplify the expression: x 3 y 7 x -4 y 0. x 7 y 7. Simplify the expression:. 2x 3 3y 5.

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5.1 – 5.3 Review

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  1. 5.1 – 5.3 Review Question and Answer Samples and Techniques

  2. Simplify the expression:(x4y-2)(x-3y8) xy5

  3. Simplify the expression: b15/a5

  4. Simplify the expression: x3y7x-4y0 x7y7

  5. Simplify the expression: 2x3 3y5

  6. Use synthetic substitution to evaluate the polynomial:f(x) = 5x3 + 3x2 –x + 7; x = 2 57

  7. Use Synthetic Substitution to evaluate the polynomial function: g(x) = -2x4 – x3 + 4x – 5; x = -1 -10

  8. Perform the indicated operation:(x3 + x2 – 6) – (2x2 + 4x – 8) X3 – x2 – 4x + 2

  9. Decide whether the function is a polynomial function. If it is, state the degree and leading coefficientx3+ x2 – 6x-1 Not a polynomial function

  10. Decide whether the function is a polynomial function. If it is, state the degree and leading coefficient-2x5+ x4– 1/3x Yes Degree: 5th degree Leading coefficient: -2

  11. Perform the indicated operation:(-3x2 + 4x – 10) + (x2 – 9x + 15) -2x2 – 5x + 5

  12. Perform the indicated operation:(x - 5)(x2 – 5x + 7) x3 – 10x2 + 32x - 35

  13. Perform the indicated operation:(x + 3)(x – 6)(3x - 1) x3 – 10x2 + 32x - 35

  14. Describe the end behavior of the graph of the polynomial function by completing the statements: f(x) = x4 – 18x2 + 21f(x)  ____ as x -∞ and f(x)  _____ as x  +∞ +∞ +∞

  15. Describe the end behavior of the graph of the polynomial function by completing the statements: f(x) = -x3– 22x2 + 3f(x)  ____ as x -∞ and f(x)  _____ as x  +∞ +∞ -∞

  16. Practice Factoring: x2 + 2x - 15 (x + 5)(x – 3)

  17. Graph using a table: f(x) = x3 –x2 + 3

  18. Graph using a table: f(x) = -x4 + 5

  19. Practice Factoring: x2 + 8x + 12 (x + 2)(x + 6)

  20. Factor: y3 – 4y2 – 12y y(y – 6)(y + 2)

  21. Factor: 2y5 – 18y3 2y3(y - 3)(y + 3)

  22. Factor: 3x3 + 30x2 + 75x 3x(x + 5)2

  23. Factor: 4x4 – 16x3 + 16x2 4x2(x – 2)2

  24. Factor: 5g5 - 80g3 5g3(g – 4)(g + 4)

  25. Assignment P 1014 4-7,12-15 Come get help if you do not understand. We will have a quiz tomorrow 5.1 – 5.3 information only

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