the result
crochly
9.20.9
each of the following to
the value et a, if x-a is a to
is ab auf xox+32
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Answer:
+ a is factor of x4 - a2x2 + 3x - 6a Let p(x) = x4 - a2x2 + 3x - 6a we know that if x - α is a factor of p(x) then p(α) = 0 So p( - a) = 0 ( - a)4 ...
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➡➡➡➡➡➡➡➡➡➡➡➡➡
➡➡x+a is factor of x
➡4 −a 2x 2 +3x−6a
➡Let p(x)=x 4−a 2 x 2 +3x−6a
➡we know that if x−α is a factor of p(x) then ➡p(α)=0
➡So p(−a)=0
➡
(−a) 4 −a 2 (−a) 2 +3(−a)−a=0
➡a 4−a 4 −3a−a=0
−4a=0
➡a=0
➡➡➡➡➡➡➡➡➡➡➡➡➡➡➡➡➡➡➡
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