Polynomial Graphing

Classify by degree of polynomial:
3x² – 8x + 1

• Constant
• Linear
• Quadratic
• Cubic

If the degree of the function is even, then...

• The end arrows point in the same direction

• The end arrows point in opposite directions

• There is no way to tell what the ends of the graph do.

What is the standard form of the polynomial,
7x - 125 - 6x⁴ + 14x²

• 125 + 7x - 14x² +6x⁴
• 6x⁴  -14x² - 7x +125
• 125 + 14x² + 7x  - 6x⁴
• -6x⁴+ 14x² + 7x - 125

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

• (-2.55, 0), (2.55, 0)
• (-3, 0), (-2, 0), (2, 0), (3, 0)
• (0, 36)
• (0, -3), (0, -2), (0, 2), (0, 3)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

In the above graph, which root has a multiplicity of 2?

• -1

• -3

• -120

• 4

Tags

CCSS.HSA.APR.B.3

What are the zeros of the polynomial

y = 3(2x + 8)(x + 1)(x - 3)⁸?

• -4, -1, 3

• 3, -3, 4, 1

• 4, 1, -3

• 3, -4, -1, 3

What is true about the graph?

• Even Degree

  - Leading Coeff.

• Even Degree

  + Leading Coeff.

• Odd Degree

  - Leading Coeff.

• Odd Degree

  + Leading Coeff.

What is a possible equation in factored form of a function if it has zeros of 2, 3 and -1?

• y=(x-2)²(x-3)(x+1)³

• y=(x-1)⁶(x-2)(x-3)

• y=(x-1)(x+2)(2x+6)

• y=(x+1)(x+2)(x+3)

The degree of the polynomial determines the number of possible roots.

• True

• False

What is the leading coefficient?

• Positive 
• Negative

Tags

CCSS.HSA.APR.A.1