Test
Monomials and polynomials
Dynamic tasks on like terms, polynomial operations, degree, evaluation and algebraic vocabulary.
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Sample questions
- Add the like terms ___ and ___.
- Subtract the polynomial (___) from (___).
- Multiply the monomials: ___x___ · ___x___.
- Expand: (x + ___)(x + ___).
- What is the degree of the monomial ___x___?
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.
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