IM3 LT33 Characteristics of Polynomials

Is the leading coefficient for the polynomial shown positive or negative?

• Negative

• Positive

• Cannot be determined

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

What is the leading coefficient for the polynomial given by:

y = 3x² + 9x⁵ − 4 + 10x⁸ + 2x⁹ ?

• 2

• 10

• 9

• 3

Which one of the following could be the polynomial seen in the image?

• y = (x + 3)(x + 1)(x − 2)

• y = -(x + 3)(x + 1)(x − 2)

• y = -(x − 3)(x + 1)(x + 2)

• y = (x + 3)(x + 1)(x + 2)

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

Which root has a multiplicity of 2?

• -1

• 2

• 4

• -4

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

The polynomial is...

• Odd degree, positive leading coefficient.
• Odd degree, negative leading coefficient.
• Even degree, positive leading coefficient.
• Even degree, negative leading coefficient.

Tags

CCSS.HSA.APR.B.3

Which function has this end behavior?

• -x²-3x+1
• -x³+2x²+3
• x⁴+3x³-4x+1
• x⁵-4x⁴+2x²-1

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the domain of the following graph?

• (-∞,∞)
• (-∞,4]
• (-∞,3]
• [-2.5,4]

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

• (-∞, ∞)
• [-2, 2]
• (-2, 2)
• [-5, 5]

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the domain of the graph?

• {x| -∞ ≤ x ≤ ∞}

• (-∞,∞)

• $\left[-3,3\right]$

• [-15. 9]

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5