How to find the solutions of an quadratic equation - Free Math Help

The video tutorial explains how to solve a quadratic equation by rearranging terms to set the equation to zero. It identifies the coefficients and constants, and demonstrates two methods for factoring the equation. The tutorial concludes by solving the factored equation to find the solutions.

What is the first step in solving a quadratic equation?

• Add the constant to both sides

• Divide all terms by the constant

• Multiply all terms by the highest coefficient

• Set the equation equal to zero

How do you determine the coefficients in a quadratic equation?

• By subtracting the constant from the quadratic term

• By adding all the terms together

• By identifying the numbers in front of each term

• By dividing the equation by the highest power of x

What is the product of coefficients used for in solving quadratic equations?

• To calculate the vertex of the parabola

• To find suitable factors for factoring

• To determine the discriminant

• To find the sum of the roots

In the first method, what do you do after factoring the quadratic equation into binomials?

• Solve each binomial for x

• Divide the binomials by the constant

• Multiply the binomials together

• Add the binomials to get a new equation

What is the purpose of the box method in solving quadratic equations?

• To simplify the equation by division

• To organize terms for easier factoring

• To visualize the equation as a graph

• To eliminate the constant term

Which of the following is a solution to the equation using the box method?

• x = 2

• x = -1

• x = 5

• x = 0

What is the other solution to the equation using the box method?

• x = -3/4

• x = 1/2

• x = 3/4

• x = 1/4