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

How do you multiply two binomials?

Back

Use the distributive property (FOIL method): Multiply the first terms, outer terms, inner terms, and last terms, then combine like terms.

Front

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

Back

x^2 + 5x + 6.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by two or more terms inside a parenthesis.

Front

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

Back

a^2 - b^2 (Difference of squares).

Front

What is the result of multiplying (2x + 3)(3x + 4)?

Back

6x^2 + 17x + 12.

Front

What is the result of multiplying (4x + 3)(x + 2)?

Back

4x^2 + 11x + 6.

Front

What is the result of multiplying (-2x^2 + 4x + 4)(3x - 5)?

Back

-6x^3 + 22x^2 - 8x - 20.

Front

What is a coefficient in a polynomial?

Back

A coefficient is a numerical factor in a term of a polynomial.