Monomials Flashcard

A monomial is a polynomial with only one term, which can be a constant, a variable, or a product of constants and variables raised to non-negative integer powers.

The degree of a monomial is the sum of the exponents of its variables. For example, in the monomial $$3x^2y^3$$ , the degree is 2 + 3 = 5.

7x^2y + 4x - 8y.

-9c^2d^2.

The quotient rule states that when dividing two powers with the same base, subtract the exponents: $$\frac{a^m}{a^n} = a^{m-n}$$ .

x^5.

27x^6.

9x.

A polynomial is an expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Like terms are terms that have the same variable(s) raised to the same power. For example, 3x^2 and 5x^2 are like terms.