Multiplying 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 the degree of a polynomial?

Back

The degree of a polynomial is the highest power of the variable in the expression.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is written in descending order of the degree of its terms.

Front

What is the product of two binomials?

Back

The product of two binomials can be found using the distributive property or the FOIL method (First, Outside, Inside, Last).

Front

What does it mean for a polynomial to be a perfect square?

Back

A polynomial is a perfect square if it can be expressed as the square of a binomial.

Front

What is the result of (x + a)(x + b)?

Back

The result is x² + (a + b)x + ab.

Front

What is the result of (x - a)(x + a)?

Back

The result is x² - a² (difference of squares).

Front

What is the result of (x + 2)(x + 3)?

Back

The result is x² + 5x + 6.

Front

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

Back

The result is x² - 4x - 5.

Front

What is the result of (x + 5)(x + 4)?

Back

The result is x² + 9x + 20.