Add, Subtract, & Multiply Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and non-negative integer exponents, combined using addition, subtraction, and multiplication.

Front

What is the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients while keeping the variable part unchanged.

Front

How do you subtract polynomials?

Back

To subtract polynomials, distribute the negative sign to the second polynomial and then combine like terms.

Front

What is the product of two binomials?

Back

The product of two binomials can be found using the distributive property or the FOIL method (First, Outside, Inside, Last).

Front

What is the FOIL method?

Back

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

Front

What is the result of multiplying (x - 3)(x + 10)?

Back

The result is x² + 7x - 30.

Front

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

Back

The result is 9x² - 1.

Front

How do you find the difference of two polynomials?

Back

To find the difference, subtract the second polynomial from the first by distributing the negative sign and then combining like terms.

Front

What is the result of finding the difference (3 - 2x + 2x²) - (4x - 5 + 3x²)?

Back

The result is -x² - 6x + 8.