8/6/2019 Polynomial Improve Ws

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5/2/2011 Precalculus Practice Problems Bringing Ideas Together

Sketching the graph of a factored Polynomial State the degree and list the zeros & y-intercept Sketch the graph of f by hand (no calculator

assistance)

1. ( ) ( ) 2. ( ) ( ) ( ) 3. ( ) ( )( ) 4. ( ) ( ) ( )

Finding the Rational Zeros Use the Rational Zeros Theorem to list possible

zeros Test the possible zeros, & box any that are actual

zeros

5. ( ) 6. ( ) 7. ( )

Creating factors from Zeros Using the listed Zeros, write the factors that

would cause a function to have such zero in the form(x - __)

Check with a calculator that your function indeedcrosses the x-axis in the indicated places

Dont worry about y -intercepts for theseproblems

8. x-intercepts: -1, 2, 59. x-intercepts: -3, 0, 410. x-intercepts: -2, -1, 0, 1, 2

As you work on the grouped

problems at left....

For each group, answer thefollowing questions beforeyou begin:

a. What is the problemasking?

b. What is the problemgiving you?

c. What are theessential features?

d. How are the first andsecond problems in

this group similar?Different?

e. How do you knowyour right?

8/6/2019 Polynomial Improve Ws

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5/2/2011 Precalculus Practice Problems Bringing Ideas Together

Do not begin work on the following problems until

a. Everyone in your group has finished allaspects of the front page

b. Mrs. Black has checked off your work for thefront page

Putting it all Together Identify & test possible Zeros Use Zeros to create factors

Use long division to factor the polynomial Sketch the polynomial using the factors you have

figured out as guides (no calc)

11. ( ) 12. ( )