Add/Subtract/Multiply 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 does it mean to add polynomials?

Back

Adding polynomials involves combining like terms from each polynomial to form a new polynomial.

Front

What does it mean to subtract polynomials?

Back

Subtracting polynomials involves changing the signs of the terms in the polynomial being subtracted and then combining like terms.

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

How do you multiply two binomials?

Back

To multiply two binomials, use the distributive property (FOIL method) to multiply each term in the first binomial by each term in the second binomial.

Front

What is a like term?

Back

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

Front

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

Back

The result is x² + 5x + 6.

Front

How do you simplify the expression (4a³ - 8a - 4a²) + (7a³ - 7 - 6a)?

Back

Combine like terms to get 11a³ - 4a² - 14a - 7.

Front

What is the product of (3x - 5)(4x² - 2x - 3)?

Back

The product is 12x³ - 26x² + x + 15.

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 each term in a sum.