Polynomials with Calculator Help



Polynomials with Calculator Help Name________________

Period_____Date________

Use the calculator’s graph to help you find all roots – decide which ones are rational and write them as reduced fractions, decide which ones are irrational and write those as simplified radicals, and decide which ones are not real and write those in complex number form. Then find all relative maximum and minimum points of the function.

1. f(x) = x3 + 6x2 ( 9x + 2

Rational roots:______________

Irrational roots:______________

Non-real roots:______________

Relative maximum points:____________

Relative minimum points:_____________

2. f(x) = x4 + x2 ( 20

Rational roots:______________

Irrational roots:______________

Non-real roots:______________

Relative maximum points:____________

Relative minimum points:_____________

3. f(x) = 12x3 + 44x2 ( 23x ( 105

Rational roots:______________

Irrational roots:______________

Non-real roots:______________

Relative maximum points:____________

Relative minimum points:_____________

4. f(x) = x6 ( 6x5 ( 45x4 + 284x3 + 279x2 ( 3510x + 4725

Rational roots:______________

Irrational roots:______________

Non-real roots:______________

Relative maximum points:____________

Relative minimum points:_____________

5. f(x) = x4 + 9x3 + 26x2 + 28x + 8

Rational roots:______________

Irrational roots:______________

Non-real roots:______________

Relative maximum points:____________

Relative minimum points:_____________

6. f(x) = 7x4 ( 26x3 ( 22x2 ( 109x ( 30

Rational roots:______________

Irrational roots:______________

Non-real roots:______________

Relative maximum points:____________

Relative minimum points:_____________

7. Sales for a new CD can be modeled by the function:

f(x) = (.000795x4 + .0256x3 (.2834x2 + 1.161x + .2971, where x is the number of

months since the release of the CD and f(x) is the number of CD’s sold in thousands.

About how long did the CD stay on the shelves?

What was the most number of CDs sold in any one month?

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