# You can use polynomial division to find that (x^3 -7x+6)/(x-2)=x^2 +2x-3 Is this equation true for all values of x? Explain.

You can use polynomial division to find that
$\frac{{x}^{3}-7x+6}{x-2}={x}^{2}+2x-3$
Is this equation true for all values of x? Explain.
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Mario Dorsey
Expression $\frac{{x}^{3}-7x+6}{x-2}$ is not defined when denominator x-2 equals 0, and that is if x=2.
Expression ${x}^{2}+2x-3$ is defined for every x.
So this two expressions do not have same domains and can not be equal.
Result:
This equation is not true for x=2.