Combining Polynomials Review

Front

What is a polynomial?

Back

A polynomial is a mathematical expression consisting of variables (also called indeterminates) raised to non-negative integer powers and coefficients. For example, 2x^2 + 3x - 5 is a polynomial.

Front

What does it mean to combine polynomials?

Back

Combining polynomials involves adding or subtracting polynomial expressions to simplify them into a single polynomial.

Front

How do you add polynomials?

Back

To add polynomials, combine like terms, which are terms that have the same variable raised to the same power.

Front

What is a like term?

Back

Like terms are terms in a polynomial that have the same variable raised to the same exponent. For example, 3x^2 and 5x^2 are like terms.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac. It is used to multiply a single term by each term in a polynomial.

Front

Find the product: 5x(2x + 3)

Back

10x^2 + 15x

Front

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

Back

5x^2 + 2x - 2

Front

What is the result of multiplying (x + 2)(x + 3)?

Back

x^2 + 5x + 6

Front

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

Back

4x^3 + 1x^2 – 3x + 1

Front

Find the product: (2n + 2)(6n + 1)

Back

12n^2 + 14n + 2