Question

please provide the proper explaination of the question​

Answer 1

Answer:

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