Polynomial Operations Review

Front

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, -3x and 3x are like terms because they both contain the variable x.

Front

What is the product of (3x + 2)(2x + 4)?

Back

The product is 6x² + 16x + 8.

Front

How many terms are in the polynomial 3x³ - 2y + 8x - 16?

Back

There are 4 terms in the polynomial.

Front

What is the product of (n - 5)(n - 1)?

Back

The product is n² - 6n + 5.

Front

What is the result of multiplying (x² - 2x + 1)(x + 1)?

Back

The result is x³ - x² - x + 1.

Front

Define a polynomial.

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents. For example, 2x² + 3x - 5 is a polynomial.

Front

What is the degree of the polynomial 4x³ - 2x² + x - 7?

Back

The degree of the polynomial is 3, which is the highest exponent of the variable x.

Front

What are coefficients in a polynomial?

Back

Coefficients are the numerical factors in a polynomial. For example, in the polynomial 3x² + 2x - 5, the coefficients are 3, 2, and -5.

Front

What is the sum of the polynomials 2x² + 3x and 4x² - x?

Back

The sum is 6x² + 2x.

Front

What is the difference between the polynomials 5x² + 3 and 2x² - 4?

Back

The difference is 3x² + 7.