Table Method for Polynomial Multiplication

The video tutorial explains how to multiply polynomials using the table method. It starts with multiplying a binomial by a trinomial, setting up a table with terms on the side and top. The process involves calculating products for each cell and combining like terms, often found along diagonals. The method is versatile and can be expanded to multiply more complex polynomials, such as trinomials by trinomials.

What is the main advantage of using the table method for multiplying a binomial by a trinomial?

• It requires fewer calculations.

• It simplifies the addition of like terms.

• It eliminates the need for multiplication.

• It is only useful for binomials.

When setting up the table for multiplication, where is the binomial placed?

• On the diagonal

• Down the side

• Across the top

• In the middle

What is the result of multiplying x by x^2?

• x^3

• x^4

• x^2

• 2x^2

How do you handle negative signs when multiplying terms in the table?

• Ignore them

• Multiply them as well

• Subtract them from the result

• Add them to the result

What is the product of 5 and -3x in the table?

• 15x

• -15x

• -5x

• 5x

Which terms are typically combined in the table method?

• All terms

• Diagonal terms

• Terms in the same column

• Terms in the same row

What is the combined result of 5x^2 and -3x^2?

• 0

• 8x^2

• 2x^2

• -2x^2

What is the final result of combining -15x and -2x?

• -12x

• -17x

• -13x

• -18x

What is the constant term in the final expression after combining like terms?

• -10

• -5

• 10

• 0

What is the final expression after combining all like terms?

• x^3 + 2x^2 - 17x - 10

• x^3 + 5x^2 - 17x - 10

• x^3 + 5x^2 - 15x - 10

• x^3 + 2x^2 - 15x - 10