Learn how to factor a trinomial using the diamond method

The video tutorial explains how to factor trinomials using the diamond method. It begins with an introduction to the standard form of a quadratic equation and then describes the diamond method, which involves finding two numbers that multiply to give the constant term and add to give the linear coefficient. The tutorial provides a step-by-step guide to applying this method, including identifying the correct factors and writing the trinomial as a product of its factors.

What is the standard form of a quadratic equation?

• Ax^2 + Bx + C

• Y = mx + b

• Y^2 + Bx + C

• Y^2 + By + C

In the diamond method, what do the two numbers need to do?

• Multiply to give C and add to give B

• Multiply to give B and add to give C

• Add to give C and multiply to give A

• Add to give A and multiply to give B

When using the diamond method, what is the purpose of the X or diamond shape?

• To organize the factors of A

• To visually represent the sum and product of factors

• To calculate the value of Y

• To determine the roots of the equation

Which pair of numbers correctly factors the trinomial in the example?

• 6 and -3

• -6 and 3

• 9 and -2

• -9 and 2

What is the final factored form of the trinomial using the diamond method?

• (y - 6)(y + 3)

• (y + 6)(y - 3)

• (y - 9)(y + 2)

• (y + 9)(y - 2)