Polynomials

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 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 multiply two binomials?

Back

Use the distributive property (FOIL method) to multiply each term in the first binomial by each term in the second binomial.

Front

What is the product of (3x + 2)(2x + 4)?

Back

6x² + 16x + 8.

Front

How do you simplify the expression 2x(-2x - 3)?

Back

The simplified expression is -4x² - 6x.

Front

What is the sum of the polynomials (6x + 4x⁴ - 3x²) + (7x⁴ + 5x² + 8x)?

Back

The sum is 11x⁴ + 2x² + 14x.

Front

How many terms are in the polynomial 3x³ - 2y + 8x - 16?

Back

There are 4 terms.