Roots of Polynomials

Find all the real zeros of the function 
f(x) = 2x³ - 19x² + 38x + 24 given that x-4 is a factor.

• x = 1/2, -6

• x = -1/2, 6

• x = 4, -1/2, 6

• x = -4, 1/2, -6

What are the zeros of the function?

• 4,1

• 3,1,-2,-5

• -3, -1, 2, 5

• -2,4

Factor:
 x³-12x²+47x-60=0 when 5 is a root.

• (x-3)(x-4)(x-5)=0

• (x+1)(x-4)(x-5)=0

• (x-3)(x-4)(2x-5)=0

• (x-5)(x-4)(x-5)=0

One zero of 4x³-17x²-150x-189 is 9.
What is another zero?

• 4

• 7

• -3

• -6

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)

One zero of 2x³-9x²-123x-220 is -4.
What is another zero?

• 18

• 4

• 11

• -7

One zero of 2x³-13x²+36 is 2.
What is another zero?

• 3/2

• 6

• 2

• -6