12-6-24 Bell Work: Add, and Subtract Polynomials

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting 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 distributing the negative sign and then combining like terms.

Front

What are like terms in polynomials?

Back

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

Front

How do you combine like terms?

Back

To combine like terms, add or subtract their coefficients while keeping the variable part unchanged.

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

What is the leading coefficient of a polynomial?

Back

The leading coefficient is the coefficient of the term with the highest degree in a polynomial.

Front

How do you simplify the expression (2x^2 + 5x - 7) + (3 - 4x^2 + 6x)?

Back

Combine like terms: -2x^2 + 11x - 4.

Front

How do you find the difference of (3 - 2x + 2x^2) - (4x - 5 + 3x^2)?

Back

Distribute the negative sign and combine like terms: -x^2 - 6x + 8.

Front

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

Back

Combine like terms: 11a^3 - 4a^2 - 14a - 7.