To find the sum of rational expressions, you need to first combine like terms in both the numerator and denominator.
In this case, the numerators are x^2 - 23x - 2 and x + 5(3x - 2).
Combining like terms in the numerator, we get:
x^2 - 23x - 2 + 3x + 5(-2) = x^2 - 23x - 2 + 3x - 10 = x^2 - 20x - 12
Combining like terms in the denominator, we get: 3x - 2
So, the final rational expression is:
(x^2 - 20x - 12)/(3x - 2)
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 - this is the correct answer
Score
explain how you would get the correct answer
1 answer