What is a polynomial?

What is a polynomial?

There are criteria for expressions to be called polynomials. A polynomial needs to have at last 3 algebraic terms. For instance, an expression with negative exponents is not a polynomial. In this lesson, we will also learn how to classify polynomials base on their number of terms.

Lessons

  • 1.
    Which of the following is a "Polynomial"?
    a)
    66
    3x \sqrt{3} x
    x13 {x^ \frac{1}{3}}
    4b35b 4{b^3} - 5b
    3x+4z 3x + \sqrt{4z}
    x43y {x^{-4}} - 3y
    213x+4\frac{2}{13x} + 4


  • 2.
    Classifying polynomials (monomial, binomial, trinomial, or polynomial
    a)
    x+2x + 2
    3 -3
    x32x4 {x^3} -2x-4
    x32x2+3x23 {x^3}-2 {x^2} +3 x-23