Find the value of a and b so that the polynomial x⁴+ax³-7x²-8x+b is exactly divisible by (x+2)&(x+3)

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Find a and b so polynomial (x⁴ + ax³ - 7x² - 8x + b) exactly divisible by (x + 2) as well as (x+3) Find a and b so polynomial (x⁴ + ax³ - 7x² - 8x + b) exactly divisible by (x + 2) as well as (x+3)
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