# The opposite of a polynomial Given: -3z^{8}

The opposite of a polynomial
Given: $-3{z}^{8}$
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Alara Mccarthy
Calculations:
Opposite of a polynomial is additive inverse of the polynomial. Thus, addition of the given and the opposite polynomial is zero.
$\left(-1\right)\left(-3{z}^{8}\right)$
On simplify we get:
$=\left(-1×-3\right){z}^{8}$
$=\left(3\right){z}^{8}$
$=3{z}^{8}$
Thus, opposite of polynomial $-3{z}^{8}$ is $3{z}^{8}$
Conclusion:
Opposite of polynomial $-3{z}^{8}$ is $3{z}^{8}$