Factoring Polynomials Using the Box Strategy

The video tutorial explains how to factor polynomials using the box strategy. It begins with an introduction to the method, followed by several examples demonstrating how to apply the box strategy to different types of polynomials, including those not in standard form and those with a greatest common factor. The tutorial concludes with a practice problem for viewers to attempt on their own.

Which of the following is NOT a method for multiplying polynomials?

• Single Distributive

• Box Strategy

• FOIL

• Double Distributive

What is the first step in the box strategy for factoring a polynomial with four terms?

• Combine like terms

• Multiply the terms

• Find the greatest common factor

• Place the quadratic term in the top left

In the box strategy, where do you place the constant term?

• Top left

• Bottom right

• Top right

• Bottom left

When factoring a polynomial not in standard form, what should you do first?

• Combine like terms

• Place the term with the highest exponent first

• Find the greatest common factor

• Multiply the terms

What is the greatest common factor of the polynomial terms 5a^2, 10a^3, and 15a^4?

• 10a^2

• 15a

• 5a^2

• 5a

After factoring out the greatest common factor, what is the next step in the box strategy?

• Combine like terms

• Place the terms in the box

• Multiply the terms

• Find the common factors

If a polynomial has no common factors, what should you do first in the box strategy?

• Multiply the terms

• Find the greatest common factor

• Place the term with the greatest degree in the top left

• Combine like terms

In the box strategy, what do you do after placing the terms in the box?

• Multiply the terms

• Find the greatest common factor

• Combine like terms

• Factor out the common terms

What is the factored form of the polynomial 3a^2b - 18a - 5ab + 30?

• 3a - 5 times ab - 6

• 3a + 5 times ab + 6

• 3a - 5 times ab + 6

• 3a + 5 times ab - 6

What is the factored form of the polynomial 3y^2 + 4y + 6yz + 8z?

• 3y + 4 times y + 2z

• 3y - 4 times y + 2z

• 3y - 4 times y - 2z

• 3y + 4 times y - 2z