Factoring and Polynomial Expressions

The video tutorial covers various methods of factoring quadratic expressions, including factoring quadratic trinomials where the leading coefficient is 1 and where it is not 1. It also discusses factoring using the greatest common factor, perfect square trinomials, and the difference of two squares. Each method is explained with examples, demonstrating how to identify and apply the appropriate factoring technique.

What is the process of rewriting an expression as a product of its factors called?

• Expanding

• Distributing

• Simplifying

• Factoring

Which of the following is a factor of 12?

• 3

• 5

• 7

• 11

In the expression x^2 + 7x + 6, what are the two numbers that multiply to 6 and add up to 7?

• 5 and 2

• 3 and 4

• 1 and 6

• 2 and 3

What is the factored form of x^2 + 7x + 6?

• (x + 5)(x + 2)

• (x + 3)(x + 4)

• (x + 1)(x + 6)

• (x + 2)(x + 3)

What is the greatest common factor of 4x^2 and 28x?

• 7x

• 4x

• 4

• 2x

What is the factored form of 4x^2 - 28x?

• 4x(x - 7)

• 2x(2x - 14)

• x(4x - 28)

• 4(x - 7)

When factoring 2x^2 + 5x - 12, what is the product of a and c?

• 12

• -12

• -24

• 24

Which pair of numbers multiply to -24 and add up to 5?

• -4 and 6

• 3 and -8

• 4 and -6

• -3 and 8

What is the factored form of 2x^2 + 5x - 12?

• (2x + 3)(x - 4)

• (2x - 3)(x + 4)

• (x + 3)(2x - 4)

• (x - 3)(2x + 4)

What is a perfect square trinomial?

• A trinomial that can be factored into two identical binomials

• A trinomial with a leading coefficient of 1

• A trinomial with no real roots

• A trinomial that cannot be factored