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Please help with the question below. Thanks. :)
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A. x – 5; where x doesn't equal –2 B. x – 5; where x doesn't equal 5 C. 1/x - 2; where x doesn't equal 2 D. x - 2
The equation is\[\frac{x^2-3x-10}{x+2}\]Try to factor the numerator.\[x^2-3x-10=(x+a)(x+b)\]where (a + b) = -3 and ab = -10.
Hint: I'm guessing that one of the factors will be (x + 2) so it will cancel with the denominator.
First factorise the expression in the numerator. \[\frac{x^2-3x-10}{x+2} = \frac{(x-5)(x+2)}{x+2} = ...?\] Then, cancel the common factor, you'll get the simplified form. After that, put x+2 =0, solve x. The value you get should be rejected as that would make the denominator equal to 0
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