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

What does it mean to add polynomials?

Back

Adding polynomials involves combining like terms from two or more polynomial expressions to form a single polynomial.

Front

What are like terms in polynomials?

Back

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

Front

How do you subtract polynomials?

Back

To subtract polynomials, you change the signs of the terms in the polynomial being subtracted and then combine 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 expression. For example, in 4x^3 + 2x^2 + 5, the degree is 3.

Front

Simplify: (6x + 4x^4 - 3x^2) + (7x^4 + 5x^2 + 8x)

Back

11x^4 + 2x^2 + 14x

Front

Simplify: -4(9 + 3x) - 4(x - 2)

Back

-16x - 28

Front

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

Back

5x^2 + 2x - 2

Front

What is the perimeter of a triangle with sides represented by polynomials?

Back

The perimeter is the sum of the lengths of all sides, represented as a polynomial.

Front

Add and simplify: (4x - 2x^3) + (5x^3 - 4x + 5)

Back

3x^3 + 5