Adding/Subtracting/Multiplying 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 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 add two polynomials?

Back

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

Front

How do you subtract two polynomials?

Back

To subtract two polynomials, subtract the coefficients of like terms.

Front

What is a like term in polynomials?

Back

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

Front

Add the polynomial (-3x + 4) + (8x - 5).

Back

5x - 1

Front

Multiply the polynomial 6t(5t^3 - 2t^2 + 3t).

Back

30t^4 - 12t^3 + 18t^2

Front

Subtract (x^3 - x^2 + 4) - (3x^3 - 2x^2 + 3).

Back

-2x^3 + x^2 + 1

Front

Add (2x + 5y - z) + (-6x - 4y + 7z).

Back

-4x + y + 6z