Radicals and polynomials

Front

What is a radical?

Back

A radical is an expression that includes a root, such as a square root (√) or cube root (∛). For example, √x represents the square root of x.

Front

How do you simplify the radical √24?

Back

√24 = √(4*6) = √4 * √6 = 2√6.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents. For example, 3x^2 + 2x - 5 is a polynomial.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms. For example, x + 5 is a binomial.

Front

What is a cubic binomial?

Back

A cubic binomial is a binomial where at least one term is of degree three. For example, x^3 + 5 is a cubic binomial.

Front

How do you find the perimeter of a rectangle?

Back

The perimeter P of a rectangle is given by the formula P = 2(length + width).

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression. For example, in 4x^3 + 2x^2 - x, the degree is 3.

Front

What is the difference between a monomial and a polynomial?

Back

A monomial is a polynomial with only one term, while a polynomial can have multiple terms. For example, 3x is a monomial, and 3x + 2 is a polynomial.

Front

How do you combine like terms in a polynomial?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable and exponent. For example, 3x + 2x = 5x.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is written in descending order of the degree of its terms. For example, 4x^3 + 2x^2 - x + 5.