Square binomial

Front

What is a square binomial?

Back

A square binomial is a polynomial of the form (a + b)^2, which expands to a^2 + 2ab + b^2.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is when the terms are arranged in descending order of their degrees.

Front

What is the degree of the polynomial 3x - 2?

Back

The degree of the polynomial 3x - 2 is 1.

Front

Expand the square binomial (x + 1)^2.

Back

The expansion of (x + 1)^2 is x^2 + 2x + 1.

Front

What is the result of expanding (7m - 2p)^2?

Back

The expansion of (7m - 2p)^2 is 49m^2 - 28mp + 4p^2.

Front

What is the formula for the square of a binomial?

Back

The formula for the square of a binomial (a + b)^2 is a^2 + 2ab + b^2.

Front

Expand the expression (x^2 - 1)^2.

Back

The expansion of (x^2 - 1)^2 is x^4 - 2x^2 + 1.

Front

What is the factored form of a polynomial?

Back

The factored form of a polynomial expresses it as a product of its factors.

Front

What is the difference between standard form and factored form?

Back

Standard form arranges terms by degree, while factored form expresses the polynomial as a product of factors.

Front

What is the leading coefficient in the polynomial x^5 + 6x^4 - x^3 + 3x^2 + 5x - 10?

Back

The leading coefficient is 1, which is the coefficient of the highest degree term (x^5).