Mastering Quadratic Equations through Factoring

What is the first step in solving a quadratic equation by factoring?

• Solve for the variable.

• Identify the trinomial.

• Ensure one side of the equation equals zero.

• Set each factor equal to zero.

How do you know when to add or subtract to get zero on one side of the equation?

• When one side is not already zero

• When the constant is not zero

• When there is no x term

• When the equation is not in standard form

What is always implied in front of the x squared term if nothing is there?

• Any coefficient

• A zero

• A negative one

• A one

What is the purpose of factoring in solving quadratic equations?

• To find the highest exponent

• To simplify the equation to its simplest form

• To determine the coefficient of x

• To identify the solutions of the equation

What signifies that you can start factoring a quadratic equation?

• When the equation equals one

• When you have a trinomial

• When one side of the equation equals zero

• When there is an x term

Why is there always an implied one in front of the x squared term?

• Because it's a standard form

• To indicate the number of solutions

• Because x times x equals x squared

• To ensure the equation is quadratic

Which numbers multiply to give +15 and add to give -8?

• 1 and 15

• -3 and 5

• 3 and 5

• -3 and -5

Why do we set each factor equal to zero?

• To find the coefficient of x

• To simplify the equation

• Because zero times anything equals zero

• To eliminate the x term

What is the result of setting each factor equal to zero and solving?

• The solutions for x

• The highest exponent

• The constant term

• The coefficients of x

What are the solutions for the quadratic equation given in the video?

• x = 3 and x = 5

• x = 3 and x = -5

• x = -3 and x = 5

• x = -3 and x = -5