All Things Algebra

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

• A

• B

• C

• D

Which of the following roots match the above polynomial:

• -3,-1,4

• -3,2i,-2i

Find the zeros of the polynomial given one factor. Use synthetic division.

• X= 3,4,5

• x=-3,-4,-5

• x=-3,4,5

• x= 3, -4, -5

What is the Degree of this polynomial:
f(x)= x³(x + 3)²(x – 5)

• Degree: 6

• Degree: 5

• Degree: 3

• Degree: 2

Graph the solution to the system. The first equation has been plotted for you. y = -3x-3 y= 4x +4

What is the value of y in the solution to this system of equations? 3x - 5y = 22 y = -5x + 32

Mathematical Equivalence

ON

How many zeros does the following function have?
f(x)= x⁵ - 3x³ + x

• 8

• 9

• 5

• 3

The degree of the polynomial determines the number of roots.

• True

• False

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

• A

• B

• C

• D

What is the total number of possible positive roots for the following equation? y = 4x⁶ - 12x⁵ - x⁴ + 2x³ - 6x² - 5x + 10

• 4

• 5

• 6

• 7