Factor a polynomial expression completely over real numbers

The video tutorial covers the process of factoring, starting with identifying the greatest common factor (GCF) in expressions. It explains how to factor out the GCF and verify the results by multiplying back. The tutorial then moves on to trinomial factoring, including perfect square trinomials and the difference of squares. It emphasizes finding factor pairs that multiply to a specific product and add to a specific sum, providing examples and solutions throughout.

What is the first step when factoring a polynomial with a degree higher than a quadratic?

• Factor out the greatest common factor

• Look for a perfect square trinomial

• Use the quadratic formula

• Apply the difference of squares method

How can you verify that you have factored a polynomial correctly?

• By checking if the factors are prime numbers

• By adding the factors together

• By dividing the factors by the original polynomial

• By multiplying the factors back together

What is the result of factoring out 3X from 3X^3?

• 3X

• X^2

• X

• 3X^2

When factoring a trinomial, what are you looking for in terms of numbers?

• Two numbers that add to the product and multiply to the sum

• Two numbers that multiply to the product and add to the sum

• Two numbers that are both prime

• Two numbers that are both even

What is the final factorization of the trinomial discussed in the video?

• 3X * (X + 3) * (X + 2)

• 3X * (X - 3) * (X - 2)

• 3X * (X - 6) * (X - 1)

• 3X * (X + 6) * (X + 1)