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

Front

Classify the polynomial: 3x^3 + 2x^2 - x + 4

Back

Cubic polynomial (degree 3)

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 4x^3 + 2x^2 - 5, the degree is 3.

Front

Classify the polynomial: 5x - 7

Back

Linear polynomial (degree 1)

Front

What is a binomial?

Back

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

Front

Multiply: (x + 3)(x + 2)

Back

x^2 + 5x + 6

Front

What is the product of (a + b)^2?

Back

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

Front

Multiply: (2x + 1)(3x - 4)

Back

6x^2 - 5x - 4

Front

What is the FOIL method?

Back

The FOIL method is a technique for multiplying two binomials. It stands for First, Outside, Inside, Last, referring to the order in which you multiply the terms.