How to solve a quadratic by factoring in your head

The video tutorial explains how to solve a quadratic equation by factoring. It begins with an introduction to the problem and the method of factoring. The instructor discusses how to identify factors of -24 that multiply to give -24 and add to give -10. The importance of the middle term's negativity is highlighted, indicating that the larger factor must be negative. The correct factors, -12 and 2, are identified, and the equation is solved using the zero product property, resulting in solutions x = 12 and x = -2.

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

• Find two numbers that add to the last term.

• Find two numbers that multiply to the last term.

• Find two numbers that subtract to the middle term.

• Find two numbers that divide to the middle term.

Why must one of the factors be negative when factoring -24?

• Because the middle term is positive.

• Because the sum is positive.

• Because the product is negative.

• Because the last term is positive.

When the middle term is negative, which factor should be negative?

• The smaller factor.

• The larger factor.

• Neither factor.

• Both factors.

What is the correct factor pair for the quadratic equation in the video?

• -6 and 4

• -8 and 3

• -12 and 2

• -24 and 1

What property is used to solve the quadratic equation after factoring?

• Zero Product Property

• Distributive Property

• Associative Property

• Commutative Property