HA Unit 6 - Polynomials Review

How many complex zeros does this function have?

2x³ - 1

• 0

• 1

• 2

• 3

How many real zeros does this function have?

x⁴ + x³ + x²

• 0

• 1

• 2

• 3

How many zeros (both real and complex) does this function have?

2x⁵ + x⁶ + 3x⁹

• 0

• 3

• 4

• 9

Is the degree of the polynomial shown even or odd?

Does this have a positive or negative leading coefficient?

• even degree

• odd degree

• positive leading coefficient

• negative leading coefficient

Is the degree of the polynomial shown even or odd?

Does this have a positive or negative leading coefficient?

• even degree

• odd degree

• positive leading coefficient

• negative leading coefficient

What is the end behavior of this function?

• x → ∞ f(x) → ∞ , x → - ∞ f(x) → ∞

• x → ∞ f(x) → - ∞ , x → - ∞ f(x) → - ∞

• x → ∞ f(x) → ∞ , x → - ∞ f(x) → - ∞

• x → ∞ f(x) → - ∞ , x → - ∞ f(x) → ∞

What is the domain and range of this function?

• D: all real #

  R: all real #

• D: all real #

  R: y ≤ 3

• D: all real #

  R: y ≥ - 2

• D: - 3 ≤ x ≤ 3

  R: all real #

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Find a polynomial function of degree 3 with zeros 3i and -2.

• P(x) = x³+2x²+9x+11
• P(x) = x³-2x²+9x+18
• P(x) = x³+2x²+9x+18
• P(x) = x²-3ix+2x-6i

Tags

CCSS.HSA.APR.B.3

What is the equation in factored form of this graph?

• f(x) = (x-4)(x-1)²(x+2)(x+4)
• f(x) = (x-4)(x+1)²(x+2)(x+4)
• f(x) = (x-4)(x-1)²(x-2)(x+4)
• f(x) = (x+4)(x+1)²(x-2)(x-4)

Tags

CCSS.HSA.APR.B.3

What is the increasing interval(s) of the function behind this text?

• (-1.3, -.4), (.7, ∞)
• (-∞, -5), (.5, 2)
• (-5, .5), (2, ∞)
• None

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7