Adding and Subtracting 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, which are terms that have the same variable raised to the same power.

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

How do you combine like terms in a polynomial?

Back

To combine like terms, add or subtract the coefficients of terms that have the same variable and exponent.

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

What is a coefficient in a polynomial?

Back

A coefficient is a numerical factor in a term of a polynomial.

Front

What is the result of (-3p^2 - 8p^4) - (-3p^2 - 6p^4)?

Back

-2p^4.

Front

What is the result of (-4r + 8) - (-3r + 2)?

Back

-r + 6.

Front

What is the result of (7 + 4x^2 + 2x^3) - (8x^3 + 6x^2 - 2x^4)?

Back

2x^4 - 6x^3 - 2x^2 + 7.

Front

What is the result of (3a^2 - 4 - a^3) - (-6a + 5 - 8a^3)?

Back

7a^3 + 3a^2 + 6a - 9.