Alg F2 Topic #7 Operations with Polynomials Test (F2024)

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. For example, 3x^2 + 2x - 5 is a polynomial.

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What are like terms in polynomials?

Back

Like terms are terms that have the same variable raised to the same power. For example, 2x^2 and 3x^2 are like terms, while 2x and 2x^2 are not.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients. For example, (3x^2 + 2x) + (4x^2 + 5) = (3x^2 + 4x^2) + 2x + 5 = 7x^2 + 2x + 5.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the polynomial. For example, in the polynomial 4x^3 + 2x^2 - x + 7, the degree is 3.

Front

What is the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial. For example, in 5x^4 + 3x^2 - 2, the leading coefficient is 5.

Front

What is the perimeter of a triangle with sides represented by expressions?

Back

The perimeter of a triangle is the sum of the lengths of its sides. If the sides are represented by expressions, add those expressions together.

Front

How do you identify like terms in an expression?

Back

To identify like terms, look for terms that have the same variable(s) raised to the same power. For example, in the expression 2x^2 + 3x + 4x^2, the like terms are 2x^2 and 4x^2.

Front

What is the process for subtracting polynomials?

Back

To subtract polynomials, distribute the negative sign to the second polynomial and then combine like terms. For example, (3x^2 + 2x) - (x^2 + 4) = (3x^2 - x^2) + 2x - 4 = 2x^2 + 2x - 4.

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What is a binomial?

Back

A binomial is a polynomial with exactly two terms. For example, 3x + 5 is a binomial.

Front

What is a trinomial?

Back

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