Learn how to factor a trinomial

The video tutorial explains how to factor quadratic equations using the diamond method. It begins with an introduction to factoring and the quadratic form, followed by a detailed explanation of the diamond method. The instructor demonstrates how to identify factor pairs that multiply to a given number and sum to another. The tutorial concludes with completing the factorization process by forming binomials.

What is the first step in factoring the quadratic expression X^2 - 11X + 24?

• Identify the coefficients of X^2 and X.

• Set up a diamond with the constant term and the coefficient of X.

• Directly write the factors of the expression.

• Solve the expression using the quadratic formula.

In the diamond method, what do the numbers at the top and bottom of the diamond represent?

• The factors of the quadratic expression.

• The constant term and the coefficient of X.

• The coefficients of X^2 and X.

• The sum and product of the roots.

Which pair of numbers multiplies to 24 and adds up to -11?

• 8 and 3

• -8 and -3

• 12 and -2

• -12 and 2

Why do we focus on negative factors when the sum is negative?

• Because two negative numbers can add up to a negative sum.

• Because negative factors are easier to calculate.

• Because the quadratic expression is always negative.

• Because positive factors cannot multiply to a positive product.

What is the final form of the factored expression X^2 - 11X + 24?

• (X - 8)(X - 3)

• (X + 8)(X + 3)

• (X - 12)(X + 2)

• (X + 12)(X - 2)