This week we started polynomials. The first time you look at polynomials you will probably have a heart attack. But they’re not as hard as you think. In this post I will teach you what a polynomial is and some vocabulary as well as how to do a question.

Vocabulary:

**Type**– Types of polynomials

** Monomial-** Consisting of one term.

**Binomial-** An algebraic expression of the sum or the difference of two terms.

** Trinomial-** An algebraic expression of the sum or the difference of three terms.

** Polynomial-** More than three parts/terms in the question.

**Degree**– The highest exponent

**Coefficient-**The number in front of a variable.

**Constant-** In Algebra, a constant is a number on its own.

Ex. 3 – 2x + 7y + 4y – 2x + 8z – 9

**Step one: highlight or underline like terms to start grouping. **

*like terms are numbers with the same ending.

3 – 2x + 7y + 4y – 2x + 8z – 9

**Step two: Rearrange the numbers starting with the letter that comes first in the alphabet then go towards z. Do the constants last. Also go from greatest to least to stay organized.**

– 2x – 2x + 7y + 4y + 8z + 3 – 9

**Step three: Combine like terms.**

– 4x + 11y + 8z – 6

Type: This equation is a polynomial because it has more than three terms.

Coefficients: -4, 11, 8 *the coefficients poses the sign before it. (+/-)

Degree: If they don’t have an exponent the degree will be one. The only one without the exponent as 1 will be the constant. The constant will have an exponent of 0.

Constant: -6