Higher Degree Polynomials

Write the equation for the following graph, including the vertical scale factor:

• y= -2(x-3)(x+4)

• y= -2(x+3)(x-4)

• y= 2(x+3)(x-4)

• y= 36(x+3)(x-4)

Tags

CCSS.HSF-IF.C.7A

Convert to general form:

y = 5x(x+3)(x-3)

Tags

CCSS.HSA.APR.A.1

• 2(x+3)(x-4)

• (2x-8)(x+3)

• 2(x-3)(x+4)

Write the polynomial as a product of factors (factor completely!)

Tags

CCSS.HSA.APR.C.4

What is the degree?

• cubic

• 4th degree

• Quadratic

• 5th degree

Describe the end behavior

• Both tails rise

• Both tails fall

• left tail falls, right tail rises

• left tail falls, right tail rises

• n = 3

• n = 4

• n = 6

Describe the end behavior

• f(x)→∞ as x→±∞

• f(x)→-∞ as x→±∞

• f(x)→-∞ as x→-∞

  and

  f(x)→∞ as x→∞

• f(x)→∞ as x→-∞

  and

  f(x)→-∞ as x→∞

State the zeros and their multiplicity:

• x = 1, -3 (multiplicity of 2), 2

• x = 1, -3, 2

• x = -1, 3 (multiplicity of 2), -2

Tags

CCSS.HSF-IF.C.7C

Match the correct graph with the given zeros:

x = -1, 0, 1 (multiplicity of 2)

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