HW Adding & 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 from each polynomial to form a new polynomial.

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

What are like terms?

Back

Like terms are terms that have the same variable raised to the same power. For example, 3x and 5x are like terms.

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 the result of (a + b) - (c + d)?

Back

The result is a + b - c - d, combining like terms if possible.

Front

What is the zero exponent rule?

Back

Any non-zero number raised to the power of zero equals one. For example, x^0 = 1.

Front

What is the sum of (5x + 2) + (4x + 5)?

Back

The sum is 9x + 7.

Front

What is the difference of (4n^4 - 8n + 4) - (8n^2 + 4n^4 + 1)?

Back

The difference is -8n^2 - 8n + 3.

Front

How do you simplify 7^6 / 7^1?

Back

You subtract the exponents: 7^(6-1) = 7^5.