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

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

Classify the polynomial 5x^4 + 3x^2 - 2 by degree.

Back

Cubic (degree 4)

Front

Classify the polynomial 2x - 5 by number of terms.

Back

Binomial (2 terms)

Front

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

Back

x^2 + 5x + 6

Front

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

Back

2x^2 - 2x

Front

What is the result of (x + 1)^2?

Back

x^2 + 2x + 1

Front

What is the result of multiplying (2x + 3)(x - 1)?

Back

2x^2 + x - 3

Front

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

Back

7x^2 + x

Front

What is the difference of the polynomials (5x^3 - 2x) - (3x^3 + 4x)?

Back

2x^3 - 6x