Multiplying Polynomials Review

Front

What is the distributive property in polynomial multiplication?

Back

The distributive property states that a(b + c) = ab + ac. In polynomial multiplication, it allows you to multiply a term by each term in a polynomial.

Front

Simplify: 3a(5a^2 + 8a + 2)

Back

15a^3 + 24a^2 + 6a

Front

What is the result of multiplying a monomial by a polynomial?

Back

You multiply the monomial by each term in the polynomial.

Front

Simplify: 4m(3m^7 + 2m^5)

Back

12m^8 + 8m^6

Front

What is the result of multiplying two binomials?

Back

The result is a polynomial that can be simplified using the distributive property.

Front

Simplify: 5(3x + 2)

Back

15x + 10

Front

What is the power of a power property in exponents?

Back

When raising a power to another power, you multiply the exponents: (a^m)^n = a^(m*n).

Front

Simplify: (x^2)^3 * 3x^3

Back

3x^9

Front

What is the FOIL method used for?

Back

The FOIL method is used to multiply two binomials: First, Outside, Inside, Last.

Front

Simplify: (x - 5)(x + 1)

Back

x^2 - 4x - 5