The value of a for which (x + a) is a factor of + ax – 3x + 16 + a is:
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1. Answer:

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   Step-by-step explanation:

   Let f(x) = x3 − ax2 + x + 2 It is given that (x − a) is a factor of f(x). ∴ Remainder = f (a) = 0 a3 − a3 + a + 2 = 0 a + 2 = 0 a = −2Read more on Sarthaks.com – https://www.sarthaks.com/149896/find-the-value-of-a-if-x-a-is-factor-of-x-3-ax-2-x-2

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2. Step-by-step explanation:

   Let p(x) is polynomial of x .

   So, p(x) = x^6 – ax^5 + x^4 – ax^3 + 3x -a +2

   Given (x-a) is factor of polynomial p(x)

   x -a =0

   So, x = a

   Put x= a in p(x)

   P(a) = a^6– a×a^5 + a^4 – a×a^3 + 3a – a +2

   = a^6 – a^6 + a^4 – a^4 + 2a + 2

   = 2a +2

   Here ( x-a) is factor of given polynomial

   So, remainder must be 0.

   So, p(a) = 0

   2a+2 = 0

   Hence value of a = -1

   Thank you!!

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