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 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): First, Outer, Inner, Last.

Front

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

Back

The result is a² - b², known as the difference of squares.

Front

What is the area of a rectangle with length (x - 5) and width (3x + 1)?

Back

The area is 3x² - 14x - 5.

Front

What is the product of 4x and 5x?

Back

The product is 20x².

Front

What is the simplified form of -3x²(7x² - x + 4)?

Back

The simplified form is -21x⁴ + 3x³ - 12x².