Question

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Answer 1

Answer:

Step-by-step explanation:

Given that, Let p ( x ) = x³ - 3x² - 9x - 5

If ( x + 1 )is a factor of p ( x )

When we divide p ( x ) by ( x +1 ),we get ( x² - 4x - 5 ).

Now ( x² - 4x - 5 ) is a quadratic equation that can be factorfactorised by splitting the middle term, we have

x² - 4x - 5 = x² - 5x + x - 5

= x ( x - 5 ) + 1 ( x - 5 )

= ( x - 5 ) ( x + 1 )

∴ x³ - 3x² - 9x - 5 = ( x + 1 ) ( x + 1 ) ( x - 5 ) or ( x + 1 )² ( x - 5 ) is the answer.