Polynomials - ?Graph basics

Classify by the DEGREE:
4x³ - 5x² + 2x - 1

• Linear
• Quadratic
• Cubic
• Fourth Degree

Which polynomial is written in standard form?

• -3x + 8x² + 9x³ - 11
• 9x³ + 8x² - 3x - 11
• 8x² + 9x³ -11 - 3x
• -11 - 3x + 8x² + 9x³

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

• y =  ^_(x + 2)(x - 1)²
• y = -(x - 2)(x + 1)²
• y = (x - 2)(x + 1)²
• y = -x³

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Describe the end behavior of
f(x) = -5x⁴ - 2x² + 8

• Left side: Rises  
   Right side: Rises
• Left Side:  Rises
  Right side: Falls
• Left side: Falls
  Right side: Rises
• Left side: Falls
  Right side: Falls

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Write a 4th degree polynomial function with:
*a positive leading coefficient
*zeros: 9, 3, -2, 0

• y = x(x - 9)(x - 3)(x + 2)
• y = x(x + 9)(x + 3)(x - 2)
• y = -x(x - 9)(x - 3)(x + 2)
• y = -x(x + 9)(x + 3)(x - 2)

Tags

CCSS.HSA.APR.B.3

f(x) = (x-4)²(x+1)

• Even Degree
  - Leading Coeff.
• Even Degree
  + Leading Coeff.
• Odd Degree
  - Leading Coeff.
• Odd Degree
  + Leading Coeff.

Which equation MOST LIKELY matches the graph?

• y = x⁴ - x³ + 3x² + 2
• y = -x⁴ + x³ + 5x + 2
• y = x³ - 2x² + 1x + 3
• y = -x³ - 2x² + 1x + 3

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

What is the y-intercept?
f(x) = -x⁴ + x³ + 5x² + x + 6

• -1
• 1
• 5
• 6

Tags

CCSS.HSF-IF.C.7C

Is the leading coefficient positive or negative

• positive
• negative

Tags

CCSS.HSA.REI.D.10

For each function, determine the real zeros and state the multiplicity of any repeated zeros.

• {0 mult. 3, 5, 2}

• {−2 mult. 3, 3, 1}

• {0 mult. 3, 3, 2}

• {2 mult. 3, 3, 3}

Tags

CCSS.HSF-IF.C.7C