Understanding Polynomials and Their Properties

A value of x that makes the polynomial equal to infinity

A value of x that makes the polynomial undefined

A value of x that makes the polynomial equal to one

A value of x that makes the polynomial equal to zero

To identify the maximum value of the polynomial

To calculate the derivative of the polynomial

To find the roots of the equation

To determine the degree of the polynomial

x^2 - 8x + 7 = 0

x^2 + 8x + 7 = 0

x^2 + 7x - 8 = 0

x^2 - 7x + 8 = 0

1

4

2

3

0

1

2

3

As a parabola

As a circle

As a straight line

As a hyperbola

y = ax^3 + bx^2 + cx + d

y = a

y = ax + b

y = ax^2 + bx + c

(1, 5)

(0, 7)

(1, -5)

(0, -7)

(1, -5)

(1, 5)

(0, -7)

(0, 7)

x = 7

x = 3.5

x = 1

x = 0