Add, Subtract and 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 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 add polynomials?

Back

To add polynomials, combine like terms by adding their coefficients.

Front

How do you subtract polynomials?

Back

To subtract polynomials, change the signs of the terms in the polynomial being subtracted and then combine like terms.

Front

What are like terms?

Back

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

Front

What is the coefficient in a polynomial?

Back

The coefficient is the numerical factor in front of a variable in a term of a polynomial.

Front

Simplify: (4x^3 + 5x^2 + 3x) + (-2x^3 + 1x^2 + 6x)

Back

2x^3 + 6x^2 + 9x

Front

Simplify: (5x^4 - 4x^3 - 2x^2 + x - 19) - (x^4 + 5x^3 + 8x^2 + x + 5)

Back

4x^4 - 9x^3 - 10x^2 - 24

Front

Simplify: (2x + 5y - z) + (-6x - 4y + 7z)

Back

-4x + y + 6z

Front

Simplify: (6b^3 + 6 - b^4) - (8b^3 - 6b^4 + 2)

Back

5b^4 - 2b^3 + 4