Multiplying 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 polynomial.

Front

What is the standard form of a polynomial?

Back

The standard form of a polynomial is expressed as a sum of terms in descending order of their degrees.

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 the FOIL method stand for?

Back

FOIL stands for First, Outside, Inside, Last, which are the pairs of terms to multiply when expanding the product of two binomials.

Front

How do you simplify a polynomial expression?

Back

To simplify a polynomial expression, combine like terms by adding or subtracting their coefficients.

Front

What are like terms in a polynomial?

Back

Like terms are terms that have the same variable raised to the same power.

Front

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

Back

The result is x^2 + (a + b)x + ab.

Front

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

Back

The result is x^2 + 9x + 20.

Front

What is the result of multiplying (4x + 1)(5x - 2)?

Back

The result is 20x^2 - 3x - 2.