Add & Subtract Polynomials

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 does it mean to add polynomials?

Back

Adding polynomials involves combining like terms from two or more polynomial expressions to form a single polynomial.

Front

What does it mean to subtract polynomials?

Back

Subtracting polynomials involves taking the second polynomial and changing the signs of its terms, then combining like terms with the first polynomial.

Front

What are like terms in polynomials?

Back

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

Front

How do you combine like terms?

Back

To combine like terms, add or subtract their coefficients while keeping the variable part the same. For example, 3x + 5x = 8x.

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 + 5, the degree is 3.

Front

What is the perimeter of a rectangle?

Back

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

Front

How do you simplify the expression (a + b) + (c + d)?

Back

To simplify, combine like terms: (a + b) + (c + d) = a + b + c + d.

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What is the result of (3x^2 + 2x) - (x^2 + 4)?

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The result is 2x^2 + 2x - 4.

Front

What is the first step in adding polynomials?

Back

The first step is to write the polynomials in standard form, arranging terms in descending order of their degrees.