Factoring a cubic polynomial by factoring out common terms first

The video tutorial explains how to factor a trinomial by first identifying and factoring out common terms. It demonstrates the process of simplifying the expression by factoring out 5B and then solving the quadratic trinomial. The tutorial also covers checking the factorization using the distributive property and understanding the concept of multiplicity in the context of linear factors.

What is the first step in factoring a trinomial?

• Add all terms

• Solve the equation

• Simplify by factoring out common terms

• Multiply all terms

When factoring out 5B from a trinomial, what is the resulting expression?

• AB squared - 6B + 9

• 5B squared - 6B + 9

• 5B squared + 6B - 9

• AB squared + 6B - 9

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

• By using the distributive property

• By dividing the terms

• By adding the terms

• By subtracting the terms

In a quadratic trinomial, what do you need to find to factor it?

• Two numbers that add to give the linear coefficient and multiply to give the constant term

• Two numbers that multiply to give the constant term and add to give the linear coefficient

• Two numbers that add to give the constant term and multiply to give the linear coefficient

• Two numbers that multiply to give the linear coefficient and add to give the constant term

What does it mean if a factor has a multiplicity of two?

• The factor is divided by two

• The factor is incorrect

• The factor appears twice in the factorization

• The factor is multiplied by two