Question

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

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!!

Answer 2

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