Question

Write the quadratic equation whose roots are −2 and 2, and whose leading coefficient is 3.

Answer 1

`3x^2-12=0`

Explanation:

Quadratic Equation

A quadratic equation also called a second-degree equation is a special polynomial whose highest degree is two.

The general form of the quadratic equation is

`ax^2+bx+c=0`

Where a is known as the leading coefficient. Another form to write the quadratic equation is

`a(x-x_1)(x-x_2)=0`

Where x1 and x2 are the roots or zeroes of the equation.

We have the roots of the given equation are -2 and 2, and the leading coefficient is 3.

Plugging in the given values we have

`3(x+2)(x-2)=0`

Operating

`3(x^2-4)=0`

`\boxed{3x^2-12=0}`