Polynomial Root Combinations

Give f(x) = 2x² + 7x + 6

Find all possible rational roots

• -1, 1, -2, 2, -3, 3, -6, 6, -1/2, 1/2, -3/2, 3/2

• 1, 2, 3, 6, 1/2, 3/2,

• 4

• 3

• 2

• 1

• 0

• 4

• 3

• 2

• 1

• 5

If x = -10 is a root to the polynomial function f(x), then which statement below is also true?

• (x + 10) is a factor

• (x - 10) is a factor

• x = -10 is also a root

Given the following polynomial f\left(x\right)=\ 4x^5-28x^4+49x^3 x = 0 has a multiplicity of __?__

Given the following polynomial f\left(x\right)=\ 4x^5-28x^4+49x^3 x = 0 has a multiplicity of __?__

If you know 3 and 2i are roots of a polynomial function, state the polynomial factors.

• (x + 3) , (x + 2i)

• (x - 3), (x -2i), (x + 2i)

• (x - 3), (x + 3), (x - 2i), (x + 2i)

• (x -3 - 2i), (x + 3 - 2i)

• 4

• 3

• 2

• 1

• 0

How many possible negative real roots?

Find the root(s) of the function.

• x = 3

• x = (-1,2,4)

• x = (2, -2, -4)

• x = -1