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.

Front

What is the result of adding (2x² + 5x - 7) and (3 - 4x² + 6x)?

Back

-2x² + 11x - 4.

Front

What does it mean to multiply polynomials?

Back

Multiplying polynomials involves distributing each term in one polynomial to every term in the other polynomial.

Front

What is the product of x² and (2x + 3)?

Back

2x³ + 3x².

Front

How do you simplify the expression -6x - 5(10x + 3)?

Back

-56x - 15.

Front

What is the simplified form of -4x² - 6x?

Back

-4x² - 6x.

Front

What is the square of a binomial?

Back

The square of a binomial (a + b)² is equal to a² + 2ab + b².

Front

What is the result of (2x + 3)²?

Back

4x² + 12x + 9.

Front

What are like terms in polynomials?

Back

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