Solve a quadratic mentally by factoring

The video tutorial explains how to solve a quadratic equation by identifying the factors of 13. It highlights that the only factors are 1 and 13, and discusses how to choose the correct factors to achieve a positive middle term. The tutorial then demonstrates solving the equation using the zero product property, resulting in solutions for X.

What are the possible pairs of factors for the number 13?

• (5, 8) and (-5, -8)

• (3, 4) and (-3, -4)

• (2, 6) and (-2, -6)

• (1, 13) and (-1, -13)

Why must one factor be positive and the other negative when factoring 13?

• To ensure the sum is negative

• To ensure the product is positive

• To ensure the sum is zero

• To ensure the product is negative

What is the middle term that the sum of the factors must equal in this quadratic equation?

• 14X

• 12X

• 15X

• 13X

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

• Distributive property

• Commutative property

• Zero product property

• Associative property

What are the solutions for X in the quadratic equation discussed?

• X = -13 and X = 1

• X = -12 and X = 2

• X = -11 and X = 3

• X = -10 and X = 4