3 years ago

# Math SAT

I'm preparing for the math section of the SAT but there's just one part that really stumps me. I just can't seem to understand much about polynomials, finding zeroes/roots, and factoring. I also tried learning from Khan academy and other YouTube videos but none of them are helping. Are there any other websites that I should check out that could help me? I just need resources to understand this stuff.

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3 years ago

Hi!

What are the types of polynomials? What ARE polynomials?!

What are the types of polynomials?

---

Monomials

A monomial is a number, variable, or a product of a number and one or more variables. A monomial can also include positive exponents. Remember, no negative exponents are allowed. Monomials cannot have addition or subtraction signs in them.  They can't have a variable in the denominator either.

Examples of Monomials :

5

x

5x

5xy

5xy2

Examples of numbers that are NOT monomials :

5-2

5xy + 2

6/x

---

Binomials

Binomials are just two monomials;

Examples of Binomials :

5 + 2

x + y

5x - 4x2

5xy - 6

5xy2- 7xy

Examples of numbers that are NOT Binomials :

5-2

5xy

5xy + 2-2

5xy + 2+6

---

Trinomials

Trinomials are just three monomials;

Examples of Trinomials :

5 + 2 + 6

x + y + 3

5x - 4x2 + 2

5xy - 6 - 5xy

5xy2- 7xy + 7

Examples of numbers that are NOT Trinomials :

5-2

5xy +3

5xy + 2-2+3

5xy + 22

---

So, what ARE polynomials?  Well lookee 'ere :

Polynomials

A monomial, or multiple monomials.

Examples of Polynomials :

5 + 2 + 6

x + y + 3

5x - 4x2 + 2

5xy - 6 - 5xy

5xy2- 7xy + 7

5 + 2

x + y

5x - 4x2

5xy - 6

5xy2- 7xy

5

x

5x

5xy

5xy2

Examples of numbers that are NOT Polynomials :

5-2

5xy2- 7xy + 7-2

---

A polynomial in standard form is written by ordering the terms in a way that the degrees of the terms are descending from left to right.

Ex: 2x8+7x3y3+5x+3

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