Solving Quadratic Equations and Factoring

The video tutorial reviews factoring quadratics and introduces solving quadratic equations by factoring. It explains how to find x-intercepts by setting equations to zero and using methods like GCF, trinomials, the box method, and grouping. The tutorial emphasizes verifying solutions using graphing tools like Desmos.

What are the two numbers that multiply to give 2 and add to give 3 in the quadratic equation x^2 + 3x + 2?

• 1 and 2

• 2 and 3

• 1 and 3

• 2 and 4

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

• Factor out the GCF

• Find the x-intercepts

• Set the equation to zero

• Use the quadratic formula

If you have the equation x^2 - 3x = 0, what are the solutions for x?

• x = 0 or x = 3

• x = -3 or x = 3

• x = 1 or x = -1

• x = 0 or x = -3

What is the GCF of the terms in the equation 3x^2 - 15x?

• 3x

• 3

• 15

• x

In the equation 3x^2 - 15x = 0, what are the solutions for x after factoring out the GCF?

• x = 0 or x = 5

• x = 0 or x = -5

• x = 3 or x = -5

• x = 3 or x = 5

When using the box method, what do you do after placing the terms in the box?

• Factor out the GCF from each row and column

• Verify using Desmos

• Set the equation to zero

• Solve for x

What are the solutions for x in the equation 2x^2 + 3x - 2 = 0 using the box method?

• x = 2 and x = -1/2

• x = -2 and x = 1/2

• x = 1 and x = -2

• x = -1 and x = 2

What is the purpose of verifying solutions using Desmos?

• To use the quadratic formula

• To find the GCF

• To factor the equation

• To check the x-intercepts

In the equation 4x^2 - 5 = 0, what are the solutions for x after using grouping?

• x = 2 and x = -1/2

• x = 1/2 and x = -5/2

• x = 1/2 and x = -1/2

• x = 1 and x = -2

What is the first step in solving any quadratic equation?

• Use the box method

• Factor out the GCF

• Verify using Desmos

• Set the equation to zero