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, 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 polynomial.

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 -3x²(7x² - x + 4)?

Back

-21x⁴ + 3x³ - 12x².

Front

What is the result of multiplying (3x - 6)(7x + 7)?

Back

21x² - 21x - 42.

Front

What is the result of subtracting (x⁴ + 5x³ + 8x² + x + 5) from (5x⁴ - 4x³ - 2x² + x - 19)?

Back

4x⁴ - 9x³ - 10x² - 24.

Front

What is the result of multiplying (b + 3)(b² + 2b + 1)?

Back

b³ + 5b² + 7b + 3.

Front

What is the process of combining like terms in a polynomial?

Back

Combining like terms involves adding or subtracting coefficients of terms that have the same variable raised to the same power.