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How to Find the Additive Inverse of a Polynomial?

TopAdditive inverse of polynomial is a property which makes result zero when we add polynomial to it. To understand this concept we should have some knowledge regarding Polynomials and additive property. Let us see how to find the additive inverse of a polynomial.

Polynomials are expressions which consist of constants, variables and exponents. Exponents with variables can be of any degree.
Additive inverse is the number which makes the polynomial zero when we add it to polynomial. So we can define additive inverse of polynomial 'p' as –p.

Let us see how to find additive inverse of a polynomial:
We will learn to find the additive inverse of a polynomial with the help of an example. Assume that we have a polynomial 6x + 4. We want to find the additive inverse of this polynomial. So we will find the additive inverse by multiplying it by -1. We will get (-6x - 4) after multiplying it by -1.

When we add polynomial 6x + 4 and - 6x – 4 together we will get a zero as result. So -6x – 4 is the additive inverse of polynomial 6x + 4.

Let us take another example to better understand this concept. Assume that we have a polynomial 7x2 -5x + 8. We want to find additive inverse of this polynomial so we will follow same procedure. We will put this polynomial in parenthesis. Then we will multiply polynomial by negative sign and we will get polynomial (-7x2 + 5x - 8). This is additive inverse of polynomial. When we add this additive inverse (-7x2 + 5x - 8) to polynomial 7x2 - 5x + 8 we will get a zero as result. This is additive property of polynomials.