Question

if x^3 + 7x^2-x-7 is divided by x-1 and x+1, then the Quotient is

1)x+1
2)x+6
3)x+7
4)x+4

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I need answer with explanation​

Answer 1

Answer:

Option(3)

Step-by-step explanation:

(x + 1)(x - 1) = x² - 1

f(x) = x³ + 7x² - x - 7, g(x) = x² - 1

Long Division Method:

x² - 1) x³ + 7x² - x - 7( x + 7

     

          x³          - x

          --------------------

                 7x²       - 7

                 7x²        - 7

               --------------------

                              0

Therefore, Quotient = (x + 7)

Hope it helps!