Algebra I Roots Solutions

Use Descartes Rule of Signs to determine the possible number of positive and negative roots.

• 1 positive, 2 or 0 negative

• 1 positive, 1 negative

• 0 positive, 1 negative

• 1 positive, 0 negative

Determine the best linear factor for the given graph. Assume the function has degree 4.

• (x - 1)(x - 2)(x - 4)

• -(x - 1)(x - 2)(x - 4)²

• -(x + 1)(x + 2)(x+ 4)²

• (x + 1)(x + 2)(x + 4)

Zero of the polynomial p(x) = 2x + 5 is

What are the possible numbers of real roots for a 7th degree polynomial?

• 7, 5, 3, 1

• 6, 4, 2, 0

• 7, 6, 5, 4

• 8, 6, 4, 2

Look at the equation below.
What are the solutions of the equation? Write your answers in simplest radical form.

How many non-real complex roots can a 7th degree polynomial have?

• It can have 7 non-real complex roots.

• It can have an even number of non-real complex roots.

• It cannot have non-real complex roots.

• It can have any number of non-real complex roots.

Which quadratic has COMPLEX roots?

• 
• 
• 
• 

Which zero has an odd multiplicity?

• -4

• 4

• 2

• -2

What is the degree of a polynomial that has roots of -2, 4i and -4i ?

• 3

• 4

• 1

• 2

Write a polynomial function of least degree in factored form that has the given zeros.