$$\frac{{x}^{3}-7x+6}{x-2}={x}^{2}+2x-3$$

Is this equation true for all values of x? Explain.

Hagman7v
2022-09-22
Answered

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.

$$\frac{{x}^{3}-7x+6}{x-2}={x}^{2}+2x-3$$

Is this equation true for all values of x? Explain.

You can still ask an expert for help

Mario Dorsey

Answered 2022-09-23
Author has **12** answers

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.

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.

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