Multiplying and Combining Polynomials

The video tutorial explains how to multiply two polynomials using the box method. It begins by placing terms from each polynomial on the outside of a box and multiplying them. The process involves multiplying terms, adding exponents, and combining like terms to simplify the expression. The tutorial concludes by finalizing the polynomial expression.

What is the first step in using the box method to multiply polynomials?

• Add the coefficients of like terms.

• Place each term of the polynomials on the outside of the box.

• Subtract the exponents of like terms.

• Divide the coefficients of like terms.

When multiplying 2x by x squared, what is the result?

• 2x squared

• 2x to the fourth

• 2x

• 2x to the third

What is the result of multiplying 2x by -6x?

• -12x squared

• 12x

• -12x

• 12x squared

What is the result of multiplying 2x by 5?

• 5x

• 10x

• 15x

• 20x

What happens to the exponents when multiplying terms in the box method?

• They are subtracted.

• They are added.

• They remain the same.

• They are divided.

What is the result of multiplying two terms with the same base in the box method?

• The exponents are divided.

• The exponents are subtracted.

• The exponents are added.

• The exponents are multiplied.

What is the result of multiplying 3 by x squared?

• 3x to the fourth

• 3x

• 3x squared

• 3x to the third

What is the result of multiplying 3 by -6x?

• -18x

• -18x squared

• 18x

• 18x squared

What is the result of multiplying 3 by 5?

• 20

• 5

• 10

• 15

How do you combine 3x squared and -12x squared?

• Divide the coefficients to get -4x squared

• Multiply the coefficients to get -36x squared

• Subtract the coefficients to get 9x squared

• Add the coefficients to get -9x squared