math 7 - polynomials

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 a monomial?

Back

A monomial is a polynomial with only one term, such as 5x or -3y^2.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms, such as x + 5 or 3a - 2b.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms, such as x^2 - 4x + 7.

Front

How do you classify the polynomial x^3 - 7x^2 + 3?

Back

It is classified as a trinomial.

Front

What are terms in a polynomial?

Back

Terms are the individual parts of a polynomial separated by addition or subtraction, such as in 3x^2 + 2x - 5, the terms are 3x^2, 2x, and -5.

Front

How many terms are in the polynomial -27a^3 + 9a^2 - 45a?

Back

There are 3 terms.

Front

What is the result of simplifying (x + 5) + (3x - 1)?

Back

The result is 4x + 4.

Front

How do you simplify the expression 5(3x + 2)?

Back

The simplified expression is 15x + 10.

Front

How many terms are in the polynomial 3xy - 2y + 8x - 7z - 16?

Back

There are 5 terms.