Algebra 2 Rational Root Theorem, Remainder Theorem, Factor Theorem, Descartes Rule of Signs and Fundamental Theorem of A

2c. List the roots/solutions.

• x = -1, 0, 1

• x = -1

• x = 0, 1, 1

• x = -1, 1

What are the zeros of the graph?

• -4, -1, 2, 1 multiplicity 2

• -4, -1, 1, 2

• 4, 1, -2, -1 multiplicity 2

• 4, 1, -1, -2

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

• A

• B

• C

• D

Solve by using Rational Root Theorem: 
2x³ - 11x² + 12x + 9 = 0

• -1, 1, 3

• -1, 3/2, 3 

• -1/2, 3, 3

• -1/2, 1, 3

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

• A

• B

• C

• D

-3x²+x+4=0
How many roots does this equation have?

• 2

• 1

• 0

• 4

Determine the roots of the polynomial. 
f(x) = -6x(x+4)(x-2)

• 0, -4, 2

• -6, -4, 2

• -6, 4, -2

• 0, 4, -2

Determine the roots of the polynomial. 
f(x) = -x(x+1)(x-3)

• -1, 3

• 0, -1, 3

• 1, -3

• 0, -3, 1

How many zeroes are shown in the graph?

• 1

• 2

• 3

• 4

How are factors related to x-intercepts?

• They are the same

• They are not related

• x-intercepts are found by setting the factors=0

• x-intercepts are found by setting x=0