Polynomials and Factoring Vocab Quiz

How we feeling?

• Great!

• I don't know the queen, but..... I'm feeling fabulous!

• Sweet!

• Epic.

Adding & Subtracting Polynomials

• If there is a negative outside parentheses, distribute it inside.

  Then combine any like terms.

• If there is a positive outside parentheses, distribute it inside.

  Then combine any like terms.

is a polynomial with only one term.

• Monomial

• Multiplying a Polynomial by a Monomial

Distribute the monomial (one term) by multiplying it to each term of the polynomial.

-5(2x2 + x – 4)

• Multiplying a Polynomial by a Monomial

• Binomial

Binomial

• A polynomial with 2 terms  (like 3x2 + 2x)

• You need to multiply each term from the first binomial with each term in the second binomial

Multiplying Binomials

• You need to multiply each term from the first binomial with each term in the second binomial

  Ex:  (x + 2)(x – 5)

• A polynomial with 2 terms  (like 3x2 + 2x)

Multiplying Polynomials

• Make sure each term in the first polynomial is multiplied with each term in the second polynomial.

  Example:

  1.  (x + 2)(x2 – 5x + 4)

•  is a polynomial with only one term.

Factoring

• is like reversing the Distributive Property.

• The GCF is the highest number and/or variable that you can divide out of each term.

  We can factor the GCF out of a polynomial by dividing it out of each term and writing that GCF outside parentheses with the rest inside.

Greatest Common Factor (GCF)

• The GCF is the highest number and/or variable that you can divide out of each term.

  We can factor the GCF out of a polynomial by dividing it out of each term and writing that GCF outside parentheses with the rest inside.

• is like reversing the Distributive Property.

Factoring Trinomials

• We can use our multiplying box in reverse to factor (undo multiplying).

• is like reversing the Distributive Property.