Mastering Quadratic Equations through Factoring

The video tutorial explains how to solve quadratic equations by factoring. It introduces key terminology such as roots and the zero product property. The tutorial provides multiple examples, demonstrating how to factor quadratic equations and find their solutions. Techniques like the box method and recognizing perfect square trinomials are covered. The video concludes with practice problems for viewers to solve independently.

What is the solution to a quadratic equation known as?

• Coefficient

• Exponent

• Variable

• Root

How many real roots can a quadratic equation have?

• Two

• One

• Three

• Zero, one, or two

What property is used to solve equations when they are factored?

• Distributive property

• Zero product property

• Associative property

• Commutative property

What does setting a quadratic equation to zero help in identifying?

• Maximum value

• Minimum value

• Coefficients of the equation

• Roots of the equation

What are the roots of the equation X^2 + 2X - 8 = 0?

• x = 4, x = -2

• x = -4, x = 2

• x = 2, x = -2

• x = 4, x = -4

Which of the following is a correct step in the process of solving quadratic equations by factoring?

• Set the equation equal to one

• Multiply each term by the leading coefficient

• Factor out the greatest common factor

• Divide each term by the leading coefficient

Which method is used to factor the equation 7x^2 - 19x - 6 = 0?

• Completing the square

• Box method

• Quadratic formula

• Splitting the middle term

What values of x satisfy the equation 7x^2 - 19x - 6 = 0?

• x = -3, x = -2/7

• x = -3, x = 2/7

• x = 3, x = 2/7

• x = 3, x = -2/7

What is the factored form of x^2 - 10x + 25?

• (x + 10)(x - 2.5)

• (x - 5)(x - 5)

• (x - 5)(x + 5)

• (x + 5)(x + 5)

What is the unique solution for the equation x^2 - 10x + 25 = 0?

• x = 10

• x = -5

• x = 0

• x = 5