To find the sum of rational expressions, we need to combine like terms in the numerator and denominator.
In this problem, the numerator of the sum is (x^2 - 23x - 2) + (x + 5) + (3x - 2). Simplifying the numerator,
= x^2 - 23x - 2 + x + 5 + 3x - 2
= x^2 - 19x + 1
The denominator is (x - 2) + (3x - 2). Simplifying the denominator,
= x - 2 + 3x - 2
= 4x - 4
Therefore, the sum is (x^2 - 19x + 1) / (4x - 4).
This can be simplified further, but since the answer choices don't provide simplified forms, we leave it as is.
Add the rational expressions to find the sum: x2−23x−2+x+53x−2 .
Responses
x3+33x−2
the fraction with numerator x cubed plus 3 and denominator 3 x minus 2 - no response given
x2+x+73x−2
the fraction with numerator x squared plus x plus 7 and denominator 3 x minus 2 - no response given
x2+x+36x−4
the fraction with numerator x squared plus x plus 3 and denominator 6 x minus 4 - incorrect
x2+x+33x−2
the fraction with numerator x squared plus x plus 3 and denominator 3 x minus 2 - not selected, this is the correct answer
Score
explain how you get get that answer
1 answer