X + x2 - 5x -5 = 0
state the possible rational zeros and find all the zeros of the polynomial

The zeros of the polynomial are -1 and 5

Step-by-step explanation:

Quadratic Equation Solving

The standard representation of a quadratic equation is:

where a,b, and c are constants.

Solving with the quadratic formula:

We have the following equation to solve:

Before attempting to solve it, we must simplify the equation.

Collecting like terms and reordering:

Here: a=1, b=-4, c=-5

The discriminant of this quadratic equation is:

Given d is positive, the equation has two roots, and since d is a perfect square, both roots are rational.

Applying the formula:

Dividing by 2:

Separating both roots:

x = 2 + 3 = 5

x = 2 - 3 = -1

The zeros of the polynomial are -1 and 5

1. 3. can also be expressed as (22/7)

2. -4.5

3. 3.6

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