value of a for which (x+2a) is a factor of p(x)= x^5-4ax^3+2x+3
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Step-by-step explanation:
Let p(x) = x^5-4a^2x^3+2x+3 and g(x) = x+ 2a
now g( x) = x+2a
x = 2a = 0
x= -2
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=3/2
This is your answer friends........... Salmønpanna
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