Polynomial Operations

Front

Define a polynomial.

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers, combined using addition, subtraction, and multiplication.

Front

What is a monomial?

Back

A monomial is a polynomial with only one term.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms.

Front

How do you simplify the expression (r² + s²) – (5r² + 4s²)?

Back

The simplified expression is -4r² - 3s².

Front

What is the square of a binomial?

Back

The square of a binomial (a + b)² is equal to a² + 2ab + b².

Front

What is the result of (2x + 3)²?

Back

The result is 4x² + 12x + 9.

Front

How do you classify the polynomial 3x³ - 6x?

Back

It is classified as a binomial.

Front

What is the product of 7x²y³ and (2x⁴y⁵ + 6xy³)?

Back

The product is 14x⁶y⁸ + 42x³y⁶.

Front

What is the sum of (3y² + y³ - 5) + (4y² - 4y + 2y³ + 8)?

Back

The sum is 3y³ + 4y² - y + 3.