Polynomial Operations

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting 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

What is the standard form of a polynomial?

Back

The standard form of a polynomial is written in descending order of the degree of its terms.

Front

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

Back

The product is a² - b², known as the difference of squares.

Front

How do you multiply two binomials?

Back

Use the distributive property (FOIL method): First, Outer, Inner, Last.

Front

What is the sum of (2x^2 + 3x) + (4x^2 + 5x)?

Back

The sum is 6x^2 + 8x.

Front

What is the difference of polynomials?

Back

The difference of polynomials is found by subtracting the corresponding coefficients of like terms.

Front

What is the result of (3x^2 - 2x + 1) - (x^2 + 4)?

Back

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

Front

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

Back

The product is 25n² - 64.

Front

What is the sum of (3y^2 + y^3 - 5) + (4y^2 - 4y + 2y^3 + 8)?

Back

The sum is 3y^3 + 7y^2 - 4y + 3.