ADDING AND SUBTRACTING POLYNOMIALS

Front

Define a polynomial.

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients, 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

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 distributing the negative sign and then combining like terms.

Front

What are like terms?

Back

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

Front

Simplify: (4n^4 - 8n + 4) - (8n^2 + 4n^4 + 1)

Back

-8n^2 - 8n + 3.

Front

Simplify: (-7 - 3m^3 - 7m) - (-7m^3 - 3)

Back

4m^3 - 7m - 4.

Front

Distribute: -5x^6(3x^2 - 12x + 30)

Back

-15x^8 + 60x^7 - 150x^6.

Front

Find the sum: (3y^2 + y^3 - 5) + (4y^2 - 4y + 2y^3 + 8)

Back

3y^3 + 7y^2 - 4y + 3.

Front

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

Back

5b^4 - 2b^3 + 4.