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

Classify the polynomial: 3x^2 – 8x + 1 by degree.

Back

Quadratic (degree 2)

Front

Classify the polynomial: 7x^3 – 8x^2 - 4x + 9 by number of terms.

Back

4-Term Polynomial (4 terms)

Front

What is a monomial?

Back

A monomial is a polynomial with only one term.

Front

What is a binomial?

Back

A binomial is a polynomial with exactly two terms.

Front

What is a trinomial?

Back

A trinomial is a polynomial with exactly three terms.

Front

Add the polynomials: (3x^3 + 3x^2 – 4x + 5) + (x^3 – 2x^2 + x – 4).

Back

4x^3 + 1x^2 – 3x + 1

Front

Subtract the polynomials: (5x + x^2 - 4) - (4x - x^2 + 6).

Back

2x^2 + x - 10

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 combine like terms in polynomials?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power.