Adding, Subtracting and Multiplying Polynomials

Front

Define 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 are like terms?

Back

Like terms are terms in a polynomial that have the same variable raised to the same power. They can be combined by adding or subtracting their coefficients.

Front

Simplify by combining like terms: 4x + 3x - 2x.

Back

5x.

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

Multiply: 3x(2x + 4).

Back

6x^2 + 12x.

Front

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

Back

6x^2 - 2x.

Front

Simplify: 5y - 2y + 3y.

Back

6y.

Front

What is the difference between a monomial and a polynomial?

Back

A monomial is a polynomial with only one term, while a polynomial can have multiple terms.

Front

Expand: (x + 3)(x - 2).

Back

x^2 + x - 6.

Front

What is the coefficient in the term 7x^3?

Back

7 is the coefficient.