Multiplying Monomials and Binomials

The video tutorial demonstrates how to multiply x squared by a binomial using the distributive property. The teacher explains the process of applying the distributive property, focusing on multiplying x squared with each term of the binomial. The tutorial emphasizes the rules of exponents, particularly how to add powers when multiplying exponents. The teacher simplifies the expression step-by-step, resulting in the final expression x to the fourth minus 3x squared. The lesson concludes with a recap of the process and the importance of correctly applying exponent rules.

What is the first step in multiplying x squared with a binomial using the distributive property?

• Subtract the exponents of x squared

• Add the exponents of x squared

• Divide x squared by each term of the binomial

• Multiply x squared with each term of the binomial

When applying the distributive property, what do you do with the terms of the binomial?

• Divide them by x squared

• Subtract them from x squared

• Multiply each by x squared

• Add them together

What is the result of multiplying x squared by x squared according to the rules of exponents?

• x to the power of 6

• x to the power of 4

• x to the power of 8

• x to the power of 2

Why is it important to include a positive sign when writing the expression?

• To denote division

• To show multiplication

• To indicate subtraction

• To clarify the operation between terms

How do you handle the powers of exponents when multiplying them?

• Subtract the powers

• Add the powers

• Multiply the powers

• Divide the powers

What operation is performed between the coefficients when multiplying terms?

• Division

• Multiplication

• Subtraction

• Addition

What is the value of any number raised to the power of zero?

• Negative one

• The number itself

• One

• Zero

What is the result of multiplying x squared by negative three?

• Negative 3 x squared

• 3 x squared

• Negative x squared

• x squared

What is the simplified form of x to the fourth plus a negative 3 x squared?

• x to the fourth minus 3 x squared

• x to the fourth plus 3 x squared

• x to the fourth times 3 x squared

• x to the fourth divided by 3 x squared

What is the role of the coefficient in the expression?

• It is always negative

• It is always zero

• It is always positive

• It is always one