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How do you find the LCD for #x-4 , x+2#?

Answer 1

Abigail Allen

The LCD of #(x-4)# and #(x+2)# as rational expressions is #1#.

LCD is Least Common Divisor.

#(x-4)# and #(x+2)# can be thought of as rational expressions with divisor #1#.

#(x-4) = (x-4)/1# and #(x+2) = (x+2)/1#

Then the only common divisor (scalar or polynomial) they have is #1#.

If you meant to ask what is the LCD of two rational expressions with denominators #(x-4)# and #(x+2)# then the answer is:

#(x-4)(x+2) = x^2-2x-8#

The LCD in this case is the LCM (Least Common Multiple) of the two divisors.

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Answer 2

Abigail Allen

To find the least common denominator (LCD) for x-4 and x+2, we need to determine the smallest expression that both denominators can divide evenly into. In this case, the LCD is (x-4)(x+2).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.