LT

Test: Monomials and polynomials

Dynamic tasks on like terms, polynomial operations, degree, evaluation and algebraic vocabulary.

Question qty: 10
Duration in minutes: 16
Start »

Time left: 00:00:00

Sample questions

  • What is the degree of the monomial axn?
  • In the monomial axn, identify the coefficient and the exponent.
  • Expand: (x + a)(x + b).
  • Subtract the polynomial (q) from (p).
  • Multiply the monomials: axm · bxn.
  • Evaluate P(x) = ax2 + (b) when x = x.
  • Add the like terms a and b.
  • How is ax2 + bx + c classified by its number of terms?

Monomials and polynomials

A monomial is a product of a number and powers of variables, while a polynomial is a sum of monomials. Like terms have identical variable parts, so only their coefficients are combined. When multiplying monomials, multiply coefficients and add exponents of equal variables.

Polynomial operations

When subtracting a polynomial, change the sign of every term in it. Expand brackets carefully before collecting terms. The degree of a monomial is the sum of its variable exponents; the degree of a simplified polynomial is the greatest degree of its terms.