Polynomial Operations

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

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

How do you simplify the polynomial -4x^2 - 6x?

Back

Combine like terms if applicable; in this case, it is already simplified.

Front

What is the result of multiplying (b + 3)(b^2 + 2b + 1)?

Back

The result is b^3 + 5b^2 + 7b + 3.

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter P of a rectangle is given by P = 2(length + width).

Front

Expand the expression (2x - 3)^2.

Back

The expansion results in 4x^2 - 12x + 9.

Front

What is the product of (x + 7)^2?

Back

The product is x^2 + 14x + 49.

Front

What are like terms in a polynomial?

Back

Like terms are terms that have the same variable raised to the same power.

Front

What is the process of factoring a polynomial?

Back

Factoring a polynomial involves expressing it as a product of its factors.