Simplifying Polynomial Expressions

Front

What is a polynomial?

Back

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

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, such as 3x^2 or -5.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms, such as 4x + 3 or x^2 - 5.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms, such as x^2 + 3x + 2.

Front

How do you simplify (2x^3y)^6?

Back

(2x^3y)^6 = 64x^{18}y^6.

Front

What is the result of (5x + 2)(x^2 - 3x + 6)?

Back

The result is 5x^3 - 13x^2 + 24x + 12.

Front

How do you simplify the expression 2^3 * 2^2?

Back

2^3 * 2^2 = 2^{3+2} = 2^5 = 32.

Front

What is the degree of the polynomial 6x^3 + 3x^2 + 2x - 4?

Back

The degree of the polynomial is 3, which is the highest exponent.

Front

What is the coefficient in the term 7x^4?

Back

The coefficient is 7.

Front

What is the leading term of the polynomial 4x^5 - 2x^3 + x - 1?

Back

The leading term is 4x^5.