Unit 3 Review

Classify the polynomial: -3x⁴ - x³ + 4x⁵ + 8x

• Quadratic Binomial

• Quartic Monomial

• Quadratic Polynomial

• Quintic Polynomial

• Quintic Trinomial

Simplify: 11x² - 2x - 3 - 8x² + x + 4

• 19x² + 3x+ 7

• 3x² + 1 - x

• 3x² - x + 1

• 3x² + x + 1

Add: (−10k² + 7k + 6k⁴ ) + (−14 − 4k⁴ − 14k) + (2k³ + 6k² + 10k)

• 2k⁴ + 2k³ - 4k² + 3k - 14

• 2k⁴ + 2k³ + 4k² + 3k + 14

• 2k⁴ - 2k³ - 4k² - 3k - 14

• 2k⁴ - 2k³ + 4k² - 3k + 14

Subtract: (3x² - 2x + 4x⁴) - (5x² + 2x³ - 5x + 10)

• 4x⁴ + 2x³ + 2x² - 3x - 10

• 4x⁴ - 2x³ - 2x² + 3x - 10

• 4x⁴ - 2x³ - 2x² + 7x + 10

• 4x⁴ - 2x³ -2x² - 7x + 10

Multiply: (7k − 3)(k² − 2k + 7)

• 7k³-14k²+49k-21

• 7k³-17k²+55k-21

• 7k³-3k²+6k-21

• 7k³-11k²+55k-21

Describe the end behavior of the graph for: f(x) = -4x⁵ + 2x³ - 8

• Rises Left --- Falls Right

• Rises Left --- Rises Right

• Falls Left --- Falls Right

• Falls Left --- Rises Right

Describe the functions degree and leading coefficient of the graph:

• Degree Even -- Lead Coeff. Positive

• Degree Even -- Lead Coeff. Negative

• Degree Odd -- Lead Coeff. Positive

• Degree Odd -- Lead Coeff. Negative

Does the graph have a minimum or a maximum? If yes, estimate what you think it is?

• No maximum or minimum

• Maximum: 25

• Minimum: 25

• Maximum: 8

• Minimum: 8

What equation matches the graph?

• 2x⁵+...

• 2x⁴+...

• -2x⁵+...

• -2x⁴+...

• 2x²+...

What could be the equation with end behaviors:

• f(x) = 2x⁵+...

• f(x) = 2x⁴+...

• f(x) = -2x⁵+...

• f(x) = -2x⁴+...