Adding & Subtracting Polynomials

Front

What are like terms in algebra?

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 calculate the perimeter of a rectangle?

Back

To calculate the perimeter of a rectangle, add the lengths of all four sides. The formula is P = 2(length + width).

Front

What is the result of combining like terms 5a + 2b - 3a + 4?

Back

The result is 2a + 2b + 4.

Front

How do you find the sum of two polynomials?

Back

To find the sum of two polynomials, combine like terms by adding the coefficients of terms with the same variable and exponent.

Front

What is the simplified form of (3 - 2x + 2x^2) + (4x - 5 + 3x^2)?

Back

The simplified form is 5x^2 + 2x - 2.

Front

What is the result of combining like terms in (5x + 2) + (4x + 5)?

Back

The result is 9x + 7.

Front

What is a polynomial?

Back

A polynomial is an algebraic expression that consists of variables, coefficients, and non-negative integer exponents.

Front

What are the degrees of the polynomials 2x^2 and 3x^3?

Back

The degree of 2x^2 is 2, and the degree of 3x^3 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.

Front

How do you identify the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in the polynomial.