Solving Rationals LCD

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Solve for x

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Try on your own. Solve for all values of x and exclude any extraneous roots.

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What value(s) make the expression undefined?

• x = - 3 and x = 4

• x = 3 and x = - 4

• x = 3 only

• x = - 4 only

Divide

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Add

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Which of the following statements is true when determining excluded values of a rational expression?

• Excluded values are values that make the denominator equal to zero and are found AFTER you cancel like terms from the numerator and denominator.

• Excluded values are values that make the numerator equal to zero and are found AFTER you cancel like terms from the numerator and denominator.

• Excluded values are values that make the denominator equal to zero and are found BEFORE you cancel like terms from the numerator and denominator.

• Excluded values are values that make the numerator equal to zero and are found BEFORE you cancel like terms from the numerator and denominator.

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State the domain restrictions. 

• x ≠ -2

• x ≠ 2, 1

• x ≠ 2, -1

• x ≠ -2, 2, 1