Subtract the polynomials using the horizontal format. 7 x+5 ...

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Combining Like Terms

After reversing the signs, like terms—terms with the same variable raised to the same power—are combined by adding or subtracting their coefficients. This process simplifies the polynomial into its simplest form.

Polynomials

A polynomial is an algebraic expression made up of variables and coefficients. It consists of terms that are added or subtracted, and each term is the product of a constant and a variable raised to a non-negative integer power.

Subtraction in Polynomial Arithmetic

Subtracting polynomials involves changing the subtraction operation to the addition of the additive inverse of the polynomial. This means that each term in the polynomial being subtracted has its sign reversed before combining with the corresponding terms in the other polynomial.

Distributive Property

The distributive property is used when subtracting polynomials to apply the negative sign to each term in the subtracted expression. This property allows for the multiplication of the negative sign across all terms, ensuring that the subtraction is executed correctly.

Transcript

Please give Ace some feedback