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Find a Polynomial of Degree 3 with Real Coefficients That 1,2,31 , - 2,3

Question 19

Multiple Choice

Find a polynomial of degree 3 with real coefficients that satisfies the given conditions.
-Zeros of 1,2,31 , - 2,3 and P(2) =20\mathrm { P } ( 2 ) = 20


A) P(x) =5x320x2+25x30P ( x ) = - 5 x ^ { 3 } - 20 x ^ { 2 } + 25 x - 30
B) P(x) =5x3+20x225x+30P ( x ) = 5 x ^ { 3 } + 20 x ^ { 2 } - 25 x + 30
C) P(x) =5x310x225x+30P ( x ) = 5 x ^ { 3 } - 10 x ^ { 2 } - 25 x + 30
D) P(x) =5x3+10x2+25x30P ( x ) = - 5 x ^ { 3 } + 10 x ^ { 2 } + 25 x - 30

Correct Answer:

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