SOLUTION: the rational expression 2x^2 + 5x - 7/x + 2 is rewritten in the form rx + s + t/x+2, what is the value of t? thank you if you do help!!

Question 1192994: the rational expression 2x^2 + 5x - 7/x + 2 is rewritten in the form rx + s + t/x+2, what is the value of t?
thank you if you do help!!
Answer by ikleyn(52847) (Show Source): You can put this solution on YOUR website!
.


"t" is the REMAINDER of division the numerator polynomial  (2x^2 + 5x - 7) by the denominator binomial (x+2).


So, according to the REMAINDER theorem, the remainder of such division is the value 

of the polynomial (2x^2 + 5x - 7)  at x= -2,  which is


       2*(-2)^2 + 5*(-2) - 7 = 2*4 - 10 - 7 = -9.


Thus  t = -9.      ANSWER

Solved and explained.

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Hey, after the problem, you print " thank you if you do help!! ".

May I give an advise to you : write only " Thank you " and do not print the rest.

It will be much better.

Curved " thank you " does not look good . . .

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