Find the value of a so that ( x+6) is a factor of the Polynomial (x³+ 5x²- 4x+ a)
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As x-6 is a factor of the given polynomial , then if we put x=6 in the given polynomial, it's value will be zero.Then
(6)^3+5*(6)^2–4*(6)+a =0
216+180–24+a=0
Or , 396–24+a=0
or, 372+a=0
or, a= -372 , So, the value of a = -372 , so that (x-6) is a factor of the given polynomial.
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Step-by-step explanation:
As x-6 is a factor of the given polynomial , then if we put x=6 in the given polynomial, it's value will be zero.Then
(6)^3+5*(6)^2–4*(6)+a =0
216+180–24+a=0
Or , 396–24+a=0
or, 372+a=0
or, a= -372 , So, the value of a = -372 , so that (x-6) is a factor of the given polynomial.
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