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Find the value of a if (x+2a) is a factor of x^2 - 2ax^3 +2ax^3 +2x+2a+3 |
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Answer» Answer: Let p(x)=x 5 −4a 2 x 3 +2x+2a+3 and g(x)=x+2a Now. g(x)=x+2a x+2a=0 x=−2a Now, if g(x) is a FACTOR of p(x), then p(−2a) MUST be 0 Thus, p(−2a)=0 =>(−2a) 5 −4a 2 (−2a) 3 +2(−2a)+2a+3=0 =>−32A 5 +32a 5 −4a+2a+3=0 =>−2a+3=0 =>a= 2 3
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