Polynomial Multiplication

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

What does it mean to multiply polynomials?

Back

Multiplying polynomials involves using the distributive property to combine each term in one polynomial with each term in another polynomial.

Front

Simplify: (x + 3)(x + 2)

Back

x^2 + 6x + 5

Front

Simplify: (x + 1)(x + 5)

Back

x^2 + 6x + 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 4x^3 + 2x^2 - x, the degree is 3.

Front

What is a constant term in a polynomial?

Back

A constant term is a term in a polynomial that does not contain any variables. For example, in the polynomial 2x^3 - 4x + 7, the constant term is 7.

Front

Simplify: 3x(5x^2 - 7x - 8)

Back

15x^3 - 21x^2 - 24x

Front

What is the product of (7r + 5)(5r + 3)?

Back

35r^2 + 46r + 15

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.

Front

Simplify: (x + 4)(x + 1)

Back

x^2 + 5x + 4