Polynomial Operations- +, -, & *

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 + 1 is a polynomial.

Front

What are the degrees of polynomials?

Back

The degree of a polynomial is the highest power of the variable in the expression. For example, in the polynomial 4x^3 + 2x^2 + 5, the degree is 3.

Front

What is the sum of two polynomials?

Back

The sum of two polynomials is obtained by adding their corresponding coefficients. For example, (2x^2 + 3x) + (4x^2 + 5) = 6x^2 + 8x.

Front

What is the difference of two polynomials?

Back

The difference of two polynomials is obtained by subtracting their corresponding coefficients. For example, (5x^2 + 3) - (2x^2 + 1) = 3x^2 + 2.

Front

How do you multiply two polynomials?

Back

To multiply two polynomials, use the distributive property (FOIL for binomials) to multiply each term in the first polynomial by each term in the second polynomial.

Front

What is the product of (a + b)(a - b)?

Back

The product is a^2 - b^2, which is known as the difference of squares.

Front

What is the square of a binomial?

Back

The square of a binomial (a + b)^2 is equal to a^2 + 2ab + b^2.

Front

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

Back

The result is x^2 + 5x + 6.

Front

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

Back

The result is x^2 - 1, which is also the difference of squares.

Front

What is the product of (5n - 8)(5n + 8)?

Back

The product is 25n^2 - 64.