Multiplying Polynomials Quiz

What is the first step when multiplying monomials?

• Multiply the coefficients directly.

• Subtract the exponents of like bases.

• Divide the coefficients.

• Group factors with like bases together.

When multiplying a polynomial by a monomial, which property is primarily used?

• Associative Property

• Distributive Property

• Commutative Property

• Identity Property

What is the result of distributing 6p to the terms in the expression (2p + q)?

• 6p^2 + 6pq

• 12p^2 + 6pq

• 6p^2 + 6p

• 12p^2 + 6p

What does the FOIL method stand for when multiplying binomials?

• Factor, Outer, Inner, Line

• First, Order, Integrate, Last

• Factor, Order, Integrate, Line

• First, Outer, Inner, Last

Which of the following is a step in multiplying a binomial by a trinomial?

• Multiply each term in the binomial by each term in the trinomial.

• Divide the trinomial by the binomial.

• Add the coefficients of like terms.

• Subtract the exponents of like bases.

What is the result of multiplying 5x by (2x^2 + 10x - 6)?

• 10x^3 + 50x^2 - 30x

• 10x^3 + 50x - 30

• 10x^2 + 50x^2 - 30x

• 10x^3 + 50x^2 + 30x

What is a potential downside of using the box method for multiplying polynomials?

• It only works for monomials.

• Like terms are not automatically aligned.

• It requires more steps.

• It is less accurate.

When distributing a negative number, what should you be cautious of?

• Ignoring the exponents.

• Multiplying the coefficients only.

• Forgetting to change the sign of each term.

• Adding the terms instead of multiplying.

What is the result of multiplying (x - 5) by (x^2 + 4x - 6)?

• x^3 + x^2 - 26x + 30

• x^3 - x^2 - 26x + 30

• x^3 + 4x^2 - 6x

• x^3 - x^2 + 26x - 30

What is the final result of combining like terms in the expression 2a^2 + 5a - 2a - 5?

• 2a^2 + 3a - 5

• 2a^2 + 3a + 5

• 2a^2 + 7a - 5

• 2a^2 + 5a - 5