Exploring Polynomial Functions and Roots

Mathematical Equivalence

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• 5
• -1
• -5
• 1
• -4
• 4

Match equation with its possible rational roots.

Plot where the roots of the graph are located.

In the above graph complete the following end behavior:

As x --> ∞, f(x) --> ​ (a)  

As x --> - ∞, f(x) -->​ (b)  

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• y
• x
• 1
• 0

Cam divided (x⁴ + 3x² - 4x - 2) by factor of (x-2) using synthetic division. His work is shown above. Which best describes his mistake?

• Cam wrote the remainder incorrectly.

• Cam did not use a zero place holder for the x³ term.

• Cam added instead of subtracting the rows.

• Cam should have used -2 as his division since the factor was x-2.

Is 9 a possible rational zero of the equation? Why or why not?

p(x)= x³ - 6x² - x + 30

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