SOLUTION: The Question Reads: List all of the potential rational zeros of the polynomial function. Do not attempt to find the zeros. f(x) =2x^3+x^2+3x+8 The Answers to choose are: (A)

Question 30774: The Question Reads:
List all of the potential rational zeros of the polynomial function. Do not attempt to find the zeros.
f(x) =2x^3+x^2+3x+8
The Answers to choose are:
(A) +2, +4, +8, +1/2, +7/2
(B) +2, +4, +8, +16, +7/2
(C) 0, +1, +2, +4, +1/2
(D) +1, +2, +4, +8, +1/2
Can you please help me!
Thank you!
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
f(x) =2x^3+x^2+3x+8
THE METHOD IS TO LIST ALL FACTORS OF COEFFICIENT OF HIGHEST DEGREE TERM(SAY Q1,Q2...ETC...) AND THE CONSTANT TERM...(SAY P1,P2...ETC)...THEN ALL POSSIBLE RATIONAL ZEROS OF THE POLYNOMIAL ARE ALL POSSIBLE RATIOS OF P'S TO Q'S...HERE
COEFFICIENT OF HIGHEST DEGREE TERM X^3 IS=2..FACTORS ARE 1,-1,2,-2..THESE ARE Q'S CONSTANT TERM = 8....FACTORS ARE 1,-1,2,-2,4,-4,8,-8.....THESE ARE P'S
SO ALL POSSIBLE ZEROS OF THE P[OLYNOMIAL ARE....
1/1,-1/1,2/1,-2/1,4/1,-4/1,8/1,-8/1
1/-1,-1/-1,2/-1,-2/-1,4/-1,-4/-1,8/-1,-8/-1
1/2,-1/2,2/2,-2/2,4/2,-4/2,8/2,-8/2
1/-2,-1/-2,2/-2,-2/-2,4/-2,-4/-2,8/-2,-8/-2
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