please provide the proper explaination of the question
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a= 33/8 non of the given option
Step-by-step explanation:
since when polynomial is divided by x+2 the remainder is -6
if we add 6 in polynomial then it will be divisible by x+2.
=>( ax³+9x²+4x-1 ) +6 is divisible by x+2
=> if ax³+9x²+4x+5 is divisible => for x+2= 0
or x= -2 , when put in polynomial it should become 0. according to the rule of factor theorem.
=> putting x= -2
=> a×(-2³)+9×(-2²)+4(-2)+5=0
=> -8a+36-8+5=0
=> 8a= 33
=> a= 33/8
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