Multiplicity and Polynomial Graph Characteristics

What are the zeros of x²+9x+14

• 2, 7
• -2, -7
• 2, -7
• -2, 7

Tags

CCSS.HSA-REI.B.4B

Which is a zero of the graph?

• 0
• -1
• 1.5
• -3

Tags

CCSS.HSF-IF.C.7A

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

• Negative

• Positive

• Cannot be determined

What is the y-intercept for the polynomial given by:

y = 3x² + 9x⁵ − 4 + 10x⁸ + 2x⁹ ?

• 2

• -4

• 9

• 3

The degree of a polynomial always represents the:

• end behavior

• y-intercept

• number of zeroes

• quartography

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

Describe the end behavior of the graph.

• x → ∞, y→ ∞ and x→∞, y→⁻∞
• x → ∞, y→ ∞ and x→⁻∞, y→∞
• x → ∞, y→ ∞ and x→⁻∞, y→ 0
• x → ∞,y→ ∞and x→ ⁻∞, y→ ⁻∞

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which root has a multiplicity of 2?

• -1

• 2

• 4

• -4

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

Find the zeroes of the function. State the multiplicity of each zero.

f(x) = (x-7)²(x+3)⁴

• -7 with multiplicity 2; 3 with multiplicity 4

• -7 with multiplicity 1; 3 with multiplicity 1

• 7 with multiplicity 2; -3 with multiplicity 4

• 7 with multiplicity 1; -3 with multiplicity 1

Tags

CCSS.HSF-IF.C.7C