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 two or more polynomial expressions to form a new polynomial.

Front

What does it mean to subtract polynomials?

Back

Subtracting polynomials involves taking the difference between two polynomial expressions by subtracting the coefficients of like terms.

Front

How do you multiply polynomials?

Back

To multiply polynomials, use the distributive property (FOIL for binomials) to multiply each term in one polynomial by each term in the other.

Front

What is a like term?

Back

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

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 leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

Front

What is the sum of (2x^2 + 5x - 7) and (3 - 4x^2 + 6x)?

Back

The sum is -2x^2 + 11x - 4.

Front

Simplify the expression (3x - 5)(4x^2 - 2x - 3).

Back

The simplified expression is 12x^3 - 26x^2 + x + 15.

Front

Find the product of (x + 2) and (x + 3).

Back

The product is x^2 + 5x + 6.