POLYNOMIALS – Monomial Times a Polynomial

When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called the Distributive Property.

POLYNOMIALS – Monomial Times a Polynomial

When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called the Distributive Property.

Distributive Property xazyxa

POLYNOMIALS – Monomial Times a Polynomial

When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called the Distributive Property.

Distributive Property yaxazyxa

POLYNOMIALS – Monomial Times a Polynomial

When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called the Distributive Property.

Distributive Property zayaxazyxa

POLYNOMIALS – Monomial Times a Polynomial

When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called the Distributive Property.

EXAMPLE # 1 : 84 xx

POLYNOMIALS – Monomial Times a Polynomial

When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called the Distributive Property.

EXAMPLE # 1 : xxxx 484

Use the distributive property…

POLYNOMIALS – Monomial Times a Polynomial

When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called the Distributive Property.

EXAMPLE # 1 : 84484 xxxxx

Use the distributive property…

POLYNOMIALS – Monomial Times a Polynomial

When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called the Distributive Property.

EXAMPLE # 1 : 84484 xxxxx

Now separate numbers and variables and multiply.Don’t forget to ADD exponents when multiplying like variables. Variables that are “by themselves” are attached and “come along for the ride”…

POLYNOMIALS – Monomial Times a Polynomial

When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called the Distributive Property.

EXAMPLE # 1 : 84484 xxxxx

POLYNOMIALS – Monomial Times a Polynomial

When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called the Distributive Property.

EXAMPLE # 2 : 222 532 bbaaba

POLYNOMIALS – Monomial Times a Polynomial

When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called the Distributive Property.

EXAMPLE # 2 : 222 532 bbaaba

- Distributive property

POLYNOMIALS – Monomial Times a Polynomial

When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called the Distributive Property.

EXAMPLE # 2 : 222 532 bbaaba

Now separate numbers and variables…

POLYNOMIALS – Monomial Times a Polynomial

When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called the Distributive Property.

EXAMPLE # 2 : 222 532 bbaaba

Now multiply…

POLYNOMIALS – Monomial Times a Polynomial

When multiplying a monomial and a polynomial, multiply the monomial by EACH term in the polynomial. It’s called the Distributive Property.

EXAMPLE # 2 : 222 532 bbaaba

Now multiply…

POLYNOMIALS – Monomial Times a Polynomial

In some cases, the distributive property might have to be applied several times. You could have monomials multiplied by binomials separated by addition / subtraction. Once an addition or subtraction sign is inserted, the distributive property stops at the sign. Then the next monomial is distributed into the next polynomial.

EXAMPLE # 3 : 1372 22 mmmm

POLYNOMIALS – Monomial Times a Polynomial

In some cases, the distributive property might have to be applied several times. You could have monomials multiplied by binomials separated by addition / subtraction. Once an addition or subtraction sign is inserted, the distributive property stops at the sign. Then the next monomial is distributed into the next polynomial.

EXAMPLE # 3 : 1372 22 mmmm

Use the distributive property…

22mm

POLYNOMIALS – Monomial Times a Polynomial

In some cases, the distributive property might have to be applied several times. You could have monomials multiplied by binomials separated by addition / subtraction. Once an addition or subtraction sign is inserted, the distributive property stops at the sign. Then the next monomial is distributed into the next polynomial.

EXAMPLE # 3 : 1372 22 mmmm

Use the distributive property…

72 2 mmm

POLYNOMIALS – Monomial Times a Polynomial

In some cases, the distributive property might have to be applied several times. You could have monomials multiplied by binomials separated by addition / subtraction. Once an addition or subtraction sign is inserted, the distributive property stops at the sign. Then the next monomial is distributed into the next polynomial.

EXAMPLE # 3 : 1372 22 mmmm

Notice now we are distributing the next monomial…

mmmmm 372 22

POLYNOMIALS – Monomial Times a Polynomial

In some cases, the distributive property might have to be applied several times. You could have monomials multiplied by binomials separated by addition / subtraction. Once an addition or subtraction sign is inserted, the distributive property stops at the sign. Then the next monomial is distributed into the next polynomial.

EXAMPLE # 3 : 1372 22 mmmm

Notice now we are distributing the next monomial…

1372 222 mmmmmm

POLYNOMIALS – Monomial Times a Polynomial

In some cases, the distributive property might have to be applied several times. You could have monomials multiplied by binomials separated by addition / subtraction. Once an addition or subtraction sign is inserted, the distributive property stops at the sign. Then the next monomial is distributed into the next polynomial.

EXAMPLE # 3 : 1372 22 mmmm

Multiply and apply your exponent rule…

1372 222 mmmmmm

21221 372 mmmm

POLYNOMIALS – Monomial Times a Polynomial

In some cases, the distributive property might have to be applied several times. You could have monomials multiplied by binomials separated by addition / subtraction. Once an addition or subtraction sign is inserted, the distributive property stops at the sign. Then the next monomial is distributed into the next polynomial.

EXAMPLE # 3 : 1372 22 mmmm

1372 222 mmmmmm

21221 372 mmmm

233 372 mmmm

POLYNOMIALS – Monomial Times a Polynomial

In some cases, the distributive property might have to be applied several times. You could have monomials multiplied by binomials separated by addition / subtraction. Once an addition or subtraction sign is inserted, the distributive property stops at the sign. Then the next monomial is distributed into the next polynomial.

EXAMPLE # 3 : 1372 22 mmmm

1372 222 mmmmmm

21221 372 mmmm

233 372 mmmm

mmm 723 Combine like terms and write answer in descending order of exponents……