Adding Polynomials

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, -3x and 3x are like terms.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients while keeping the variable part the same.

Front

What is the result of adding (2xy - 3x² + 4y - 5) + (-3xy + 4y² - 3y + 8)?

Back

-1xy - 3x² + 4y² + 1y + 3.

Front

What is the result of adding (-3x + 4) + (8x - 5)?

Back

5x - 1.

Front

What does it mean to combine like terms?

Back

Combining like terms means to simplify an expression by adding or subtracting coefficients of terms that have the same variable and exponent.

Front

What is a polynomial?

Back

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

Front

What is a binomial?

Back

A binomial is a polynomial that contains exactly two terms, such as x + 2.

Front

What is a monomial?

Back

A monomial is a polynomial that contains exactly one term, such as 3x².

Front

What is a quadratic polynomial?

Back

A quadratic polynomial is a polynomial of degree 2, which can be expressed in the form ax² + bx + c.

Front

Classify the polynomial x² - 4.

Back

Quadratic binomial.