Polynomial Operations

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers, along with coefficients. For example, 3x^2 + 2x - 5 is a polynomial.

Front

What does it mean to add polynomials?

Back

Adding polynomials involves combining like terms, which are terms that have the same variable raised to the same power.

Front

What is the result of adding (5x + 2) + (4x + 5)?

Back

9x + 7

Front

What is the formula for squaring a binomial?

Back

The formula for squaring a binomial (a + b)^2 is a^2 + 2ab + b^2.

Front

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

Back

x^2 - 6x + 9

Front

What does it mean to subtract polynomials?

Back

Subtracting polynomials involves changing the signs of the terms in the polynomial being subtracted and then combining like terms.

Front

What is the result of subtracting (6x^2 - 3x + 2) - (-4x^2 + 3x - 6)?

Back

10x^2 - 6x + 8

Front

What is the product of two binomials (a - b)(a + b)?

Back

The product of two binomials (a - b)(a + b) is a^2 - b^2.

Front

What is the result of finding the product (5n - 8)(5n + 8)?

Back

25n^2 - 64

Front

What is the formula for the square of a binomial (a + b)^2?

Back

The formula is a^2 + 2ab + b^2.