Polynomial

Written by Jerry Ratzlaff on . Posted in Algebra

A polynomial is the sum of two or more terms.  A term can have constants, exponents and variables, such as  $$\large{ 13a^2 }$$ .  Put them together and you get a polynomial.  Polynomials can not have an unlimited number of terms.

• Equation -  $$\large{ a^2b_c - 13a^2 + 9 - 7bx^3 }$$

Types of polynomials:

• Monomial - 1 term  $$\large{ 13a^2 }$$
• Binomial - 2 terms  $$\large{ 13a^2+7x }$$
• Trinomial - 3 terms  $$\large{ 13a^2+7x-21 }$$

These are polynomials:

• $$\large{ 13 }$$
• $$\large{ 13a }$$
• $$\large{ 13a^2 }$$
• $$\large{ 13a^2+7x }$$
• $$\large{ -13a^2+7x }$$
• $$\large{ -13a^2+\frac{7}{9}x }$$
• $$\large{ \frac{a}{7} }$$
• $$\large{ \frac{13a}{7} }$$
• $$\large{ \sqrt{13} }$$

These are not polynomials:

• $$\large{ 13a^{-2} }$$ , no negative exponents
• $$\large{ \frac {7}{13a^2 - 5} }$$ , no dividing by variables
• $$\large{ \sqrt{a} }$$
• $$\large{ \frac{1}{a} }$$