2025 Alg 2 6.5 Graphs of Polynomials

Which of the following is the graph of a polynomial function?

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Which of the following is the graph of a polynomial function?

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What are the roots/zeros?

• x = - 4

• There are none

• x = - 1.5 & 1.5

• x = - 3.5 and 3.5

What are the roots/zeros?

• approximately x = - 3.2

• There are none

• approximately x = 3.2

• approximately x = - 3.2 and 3.2

How many zeros can this function have?

• only 1

• must have 2

• 1-2

• 0-2

Which of the following is a 5th degree trinomial with a leading coefficient of -2? 

• -2x⁵ + 3x - 1
• 5x^-2 +3x - 1
• -2x⁵ + 3x⁴ + 2x³ + x² - 10
• 2x + 5

What is the degree of the polynomial function
P(x)=3x⁴-7x²-2x⁷-x+4?

• 4
• 7
• 2
• 1

what the leading coefficient

• Postive

• Negative

what the is the degree of the polynomial

• Postive

• Negative

• Even

• Odd

Match the following End Behavior to their Graphs

• Degree is Odd, Leading Coefficient is Negative

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• Degree is Even, Leading Coefficient is Positive

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• Degree is Odd, Leading Coefficient is Positive

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• Degree is Even, Leading Coefficient is Negative

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