Simplifying Expressions and Table Method

The video tutorial explains how to use the table method for multiplying polynomials, drawing parallels to Punnett squares used in biology. It provides three examples, demonstrating the step-by-step process of organizing binomials in a table, finding products at intersections, and combining like terms. The method is highlighted as a useful graphic organizer for polynomial multiplication.

What is the table method compared to in the introduction?

• Punnett squares

• Pie charts

• Bar graphs

• Venn diagrams

When setting up the table, where do you write the first binomial?

• Across the top

• At the bottom

• Down the side

• In the middle

What is the first step in using the table method?

• Multiply all terms

• Write binomials across the top and side

• Add all terms

• Combine like terms

What is the product of 2x and x in the table method?

• 2x^2

• 4x

• x^2

• 2x

What is the product of 2x and 5 in the first example?

• 5x

• 10x

• 2x

• 15x

How do you simplify the expression after finding the products in the table?

• By multiplying all terms

• By combining like terms

• By subtracting all terms

• By adding all terms

What is the final expression after combining like terms in the first example?

• 2x^2 + 7x - 15

• 2x^2 - 7x + 15

• 2x^2 - 15x + 7

• 2x^2 + 15x - 7

In the new example, what is the product of x and -3?

• 3x

• x^2

• -3x

• -x

What is the result of combining like terms in the expression x^2 - 9x + 18?

• x^2 - 9x + 18

• x^2 + 9x - 18

• x^2 - 18x + 9

• x^2 + 18x - 9

What is the product of 3x and 1 in the final example?

• x^2

• 3x

• x

• 3