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 (x + 7)²?

Back

x² + 14x + 49

Front

How do you simplify -3x²(7x² - x + 4)?

Back

-21x⁴ + 3x³ - 12x²

Front

What is synthetic division?

Back

Synthetic division is a simplified method of dividing a polynomial by a linear binomial of the form (x - c).

Front

What is the result of x³ - 3x² - 10x + 24 ÷ (x + 3)?

Back

x² - 6x + 8

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a set of parentheses.

Front

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

Back

12x³ - 26x² + x - 15

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.