Multiplying and Dividing Monomials

How do you divide 12x^5 by 3x^2?

• 4x^3

• 4x^2

• 4x^5

• 4x^4

What happens when you multiply a monomial by a polynomial?

• You add the monomial to each term of the polynomial.

• You distribute the monomial to each term of the polynomial, multiplying each term by the monomial.

• You subtract the monomial from each term of the polynomial.

• You combine like terms of the monomial and polynomial.

How do you evaluate the expression 9^5?

• By adding 9 five times, resulting in 45.

• By multiplying 9 by itself five times, resulting in 59049.

• By subtracting 9 from 5, resulting in -4.

• By dividing 9 by 5, resulting in 1.8.

What is a monomial?

• A polynomial with only one term.

• A polynomial with two or more terms.

• A constant value that does not change.

• A variable that can take any value.

How do you simplify the expression 2(4 + 9w)?

• 2 * 4 + 2 * 9w = 8 + 18w

• 2 * 4 + 9w = 8 + 9w

• 2(4 + 9w) = 2 * 4 + 9w

• 2(4 + 9w) = 8 + 9w

What is the degree of a monomial?

• The degree of a monomial is the product of the exponents of its variables.

• The degree of a monomial is the sum of the exponents of its variables.

• The degree of a monomial is the highest exponent of its variables.

• The degree of a monomial is always equal to one.

What is the simplified form of 3(2x + 1)?

• 6x + 3

• 5x + 3

• 6x + 1

• 3x + 3

What is the product of two monomials?

• To multiply two monomials, multiply their coefficients and add their exponents for like bases.

• To add two monomials, simply add their coefficients and keep the variable part the same.

• To subtract two monomials, subtract their coefficients and keep the variable part the same.

• To divide two monomials, divide their coefficients and subtract their exponents for like bases.

What is the result of multiplying 3x^2 by 4x^3?

• 10x^5

• 12x^5

• 15x^5

• 8x^5

What is the result of multiplying (2x)(3x^2)?

• 2x^3

• 6x^2

• 6x^3

• 5x^3