Algebra 2 Finding Zeros in Polynomials

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

• 8

• 9

• 5

• 3

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

Which of these is a possible rational root of the polynomials? x³ - 6x² - x + 30

• 0

• 4

• -9

• -15

Which of these is a possible root of the polynomials?
x³ - 6x² - x + 30

• 0

• 4

• -9

• -15

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

• 4

• 5

• 6

• 7

State how many of each type of possible solution the following polynomial has f(x) = -4x⁴ + x³ +11x² - 4x + 8

• Positive: 3 or 1

  Negative: 1

• Positive: 3

  Negative: 1

• Positive: 1

  Negative: 3 or 1

• Positive: 1

  Negative: 3

How many possible negatives solutions does the following polynomial have? f(x) = x⁴ - 3x³ - 17x² + 39x -20

• 3 or 1

• 3

• 1

• 2 or 0

How many solutions does the polynomial f(x)=3x⁴ + 5x² - 6x have?

• 4

• 2

• 3

• 5