Polynomials and sketching

Is the leading coefficient positive or negative

• positive
• negative

f(x) = (x+2)(x-3)²(x-4)

Which choice best describes the zeros?

• -2, 3 (multiplicity 2), 4

• -2 (multiplicity 2), 3, 4

• 2, -3 (multiplicity 2), -4

• 2 (multiplicity 2), -3, -4

Tags

CCSS.HSF-IF.C.7C

Select polynomial whose zeros and degree are given.
Zeros: – 5(multiplicity of 3), 9(multiplicity of 2), – 2, 4.

• (x + 5)³(x - 9)²(x + 2)(x - 4)
• (x + 5)³(x - 9)²(x + 2)⁷(x - 4)⁷
• (x + 5)³(x - 9)²(x + 2)
• (x + 5)(x - 9)(x + 2)(x - 4)

Tags

CCSS.HSA.APR.B.3

Which root has even multiplicity?

• 1
• -4
• -1
• 2

State the degree of the polynomial:

f(x) = -5x⁴ - 3x + 2

• Degree 2 (quadratic)

• Degree 3 (cubic)

• Degree 4 (quartic)

• Degree 5 (quintic)

State the degree of the polynomial:

f(x) = 3x² + 4x - 5

• Degree 2 (quadratic)

• Degree 3 (cubic)

• Degree 4 (quartic)

• Degree 5 (quintic)

Which of the following represents the set of all y values (or outputs)?

• Domain

• Range

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Which of the following represents the set of all x values (or inputs)?

• Domain

• Range

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What is known about the leading coefficient of the function?

• It is positive

• It is negative

• It is zero

• Nothing is known

determined by the degree of the polynomial

• zeros

• multiplicity

• end behavior