Polynomials and Equations

A real number 'α' is called zero of the polynomial f(x) if ____

• f(α) = -1

• f(α) = 0

• f(α) = 1

• None of the above

What is the degree classification of this polynomial?
x²+4x-8

• binomial

• trinomial

• quadratic

• cubic

Which is an example of a linear polynomial?

• x²-5

• 6x+4

• 5x⁵

• 2x³-9x²

(x +2)(x + 3)

• x² + 5x + 6

• x² + x + 6

• x² + 5x + 5

• x² + 6x + 6

• a = 0 (repeated)

• a = 1 (repeated)

• a = 1 (repeated), 0 (repeated)

• a = -1 (repeated), 0 (repeated)

• a = 0

• a = 2

• a = -2, 0

• a = 2, 0

What are the solutions to the polynomial equation?
Choose ALL that apply.

• 2

• -2

• -3

• 3

Solve x⁴ - 256 = 0

• x = 4, x = - 4

• x = 4, x = 4i

• x = 4, x -4, x = 4i

• x = 4, x -4, x = 4i,         x = -4i

Answer explanation

The roots of the polynomial equation can be found by factoring it as (x-1)(x+2)(x-3)=0, giving x=1, -2, 3 as the solutions.

What are two solutions to the polynomial:
x²+14x=0

• x=0, x= 14

• x=-14

• x= 1, x =10

• x= -14, x = 0