POLYNOMIALS

1. TYPES OF POLYNOMIALS

1.1. DEGREE

1.1.1. Constant Polynomial- Degree is 0

1.1.2. Linear Polynomial- Degree is 1

1.1.3. Quadratic Polynomial- Degree is 2

1.1.4. Cubic Polynomial- Degree is 3

1.1.5. Zero Polynomial- 0 is called zero polynomial, degree is not defined

1.2. TERMS

1.2.1. Monomial- Having one term

1.2.2. Binomial- having two terms

1.2.3. Trinomial- having three term

2. Zero of a Polynomial

2.1. Number that satisfies the equation. Eg Zero of 2x+1 is -1/2

3. Algebraic Identities

4. Theorems

4.1. Remainder Theorem

4.1.1. If P(x) is polynomial of degree n>1, is divided by x-a, P(a) is the remainder

4.2. Factor Theorem

4.2.1. If P(x) is a polynomial of degree n>=1, a: any real number

4.2.1.1. If (x-a) is factor of P(x), then P(a)=0

4.2.1.2. If P(a)=0, then x-a is factor of P(x)