Algebra II 6-5 through 6-8 Quiz

Find all real solutions of the polynomial equation x³ - x² - 7x + 3 = 0

• x = 3, ± √2
• x = -3, -1 ± √2
• x = -1 ± √2
• x = 3, 1 ± √2

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.B.2

Find all zeros for the polynomial function P(x) = x³ -3x²-5x+15

• 3, √5 
• 3, √5, -√5
• -3, √5, -√5
• -3, 5i, -5i

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.APR.B.2

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = x³ + 2x² - 6x + 8

• ±1, ±8
• ±1, ±2, ±4, ±8
• ±1, ±2, ±4
• 1, 2, 4, 8

Tags

CCSS.HSA.APR.B.2

Which of the following is a COMPLETE  list of all possible Rational Zeros?
f(x) = 3x³ + 2x² - 6x + 7

• ±1, ±7, ±1/3, ±7/3
• ±1, 7
• ±1, ±3, ±7, ±7/3
• ±1, ±3, ±7, ±1/3, ±7/3

Tags

CCSS.HSA.APR.B.3

The degree of the polynomial determines the number of roots.

• True
• False

Tags

CCSS.HSN.CN.C.9

Use the Fundamental Theorem of Algebra to state the number of zeros/solutions/roots of the polynomial. 

• A
• B
• C
• D

Tags

CCSS.HSA.APR.B.3

CCSS.HSN.CN.C.9

What are the zeros of the polynomial and state their multiplicity at each.

y = (x - 5)(x + 2)²

• x = 5, x = 2 multiplicity 2

• x = -5, x = -2 multiplicity 1

• x = 5, x = -2 multiplicity 2

• x = 5, x = -2 multiplicity 1

State the zeros of the polynomial (include multiplicity):
f(x) = x(x+3)²(x - 2)

• x = 0, 3, 2
• x = 0, -3 (multiplicity of 2), 2
• -3, 2
• 0, 2 (multiplicity of 3)

Tags

CCSS.HSF-IF.C.7C

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The end behavior of a polynomial function is determined by the degree and the sign of the leading coefficient.
Identify the degree of the polynomial and the sign of the leading coefficient 

• Leading Coefficient Positive
  Degree - Even
• Leading Coefficient Positive
  Degree - Odd
• Leading Coefficient Negative
  Degree - Even
• Leading Coefficient Negative
  Degree - Odd

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7