Question

डिवाइड द पॉलिनॉमियल एक्स एक्स एक्स की पावर 4 माइनस 4 एक्स क्यूब माइनस 3 एक्स माइनस वन बाय एक्स माइनस वन ​

Answer 1

Answer:

Given polynomial

$p(x)=x^4-4x^3-3x-1$

To divide p(x) by x - 1

By remainder theorem

The remainder obtained on dividing p(x) by x - 1 will be the same as that obtained by putting x = 1 in p(x)

i.e. the value of p(1) will be the remainder

Now,

$p(1)=1^4-4\times 1^3-3\times 1-1$

$p(1)=1-4-3-1$

$\implies p(1)=-7$

Therefore, the remainder is -7

The actual process of division is attached.

Hope this helps.