Multiplying Polynomials Using the Distributive Property

This video tutorial teaches how to multiply polynomials using the distributive property. It provides two examples: multiplying 3x² with (−4x + 9) and −2x with (−6x² − 7x + 8). The tutorial emphasizes adding exponents when multiplying terms and demonstrates each step in detail, including handling negative numbers and constants.

What is the first step when multiplying polynomials using the distributive property?

• Subtract the exponents

• Multiply the coefficients only

• Divide the coefficients

• Add the exponents

In the expression 3x squared times negative 4x, what is the result of multiplying the coefficients?

• -7

• 12

• -12

• 7

When multiplying x squared by x, what is the resulting exponent?

• 3

• 4

• 2

• 1

What is the importance of the imaginary exponent when multiplying variables?

• It is used to add exponents

• It helps in subtracting exponents

• It is not important

• It is used to divide exponents

What is the result of multiplying 3x squared by 9?

• 18x

• 18x squared

• 27x squared

• 27x

In the second example, what is the result of multiplying negative two x by negative six x squared?

• -12x squared

• 12x cubed

• 12x squared

• -12x cubed

What is the result of adding the exponents 1 and 2 in the second example?

• 4

• 2

• 3

• 1

What is the result of multiplying negative two x by negative seven x?

• 14x

• -14x

• 14x squared

• -14x squared

When multiplying negative two x by 8, what is the resulting expression?

• 16x

• -16x

• -8x

• 8x

What is the final expression obtained from the second example?

• 12x cubed + 14x squared - 16x

• -12x cubed + 14x squared - 16x

• 12x cubed - 14x squared + 16x

• -12x cubed - 14x squared + 16x