Adding Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients, combined using addition, subtraction, and multiplication.

Front

What are the degrees of polynomials?

Back

The degree of a polynomial is the highest power of the variable in the expression. For example, in the polynomial 4x^3 + 2x^2 + 5, the degree is 3.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms, which are terms that have the same variable raised to the same power.

Front

What are like terms in polynomials?

Back

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

Front

What is the result of adding (2x^2 + 3x + 4) and (3x^2 + 2x + 1)?

Back

The result is 5x^2 + 5x + 5.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is when the terms are arranged in descending order of their degrees.

Front

What is the coefficient in a polynomial?

Back

A coefficient is a numerical factor in a term of a polynomial. For example, in 5x^2, 5 is the coefficient.

Front

What is the constant term in a polynomial?

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The constant term is the term in a polynomial that does not contain any variables. For example, in the polynomial 3x^2 + 2x + 5, the constant term is 5.

Front

How do you simplify the expression 7n^3 + 6?

Back

The expression 7n^3 + 6 is already in its simplest form as there are no like terms to combine.

Front

What is the perimeter of a triangle in terms of its sides?

Back

The perimeter of a triangle is the sum of the lengths of its three sides.