Intro to Polynomials and Solutions

Which is an example of a linear polynomial?

• x²-5

• 6x+4

• 5x⁵

• 2x³-9x²

What is the green dot on the parabola called?

• maximum

• vertex

• roots

• zeros

Find the y-intercept of this graph?

• (-4,0)

• (0,-4)

• (4,0)

• (0,4)

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

• binomial

• trinomial

• quadratic

• cubic

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

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

• 2

• -2

• -3

• 3

Polynomial

• an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication.

• An infinite series with increasing powers (exponents) of a variable.

• a = 0

• a = 2

• a = -2, 0

• a = 2, 0

5.5 - Solving Polynomial Equations
Solve the equation.

• a = 0 (repeated)

• a = 1 (repeated)

• a = 1 (repeated), 0 (repeated)

• a = -1 (repeated), 0 (repeated)

Answer explanation

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