Question

please answer the question
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Answer 1

Given : a polynomial p(x)  divided by x² - 4 ,  Quotient = x  & remainder = 3

To find : Polynomial p(x)

Solution:

As we know that

p(x) = q(x) . g(x)  + r(x)

where

q(x) = x

g(x) = x² - 4

r(x) = 3

Substituting all known values

p(x) = x . (x² - 4)  + 3

=> p(x) =  x³ - 4x + 3

Polynomial p(x) = x³ - 4x + 3   which on dividing by x² - 4  give Quotient x  & remainder = 3

so , option (b) is correct

Answer 2

Answer:

(B) x³ - 4x + 3

Step-by-step explanation:

check out the attachment for explanation...

NOTE: My answer is concept based. It might not be that formal but you will enjoy it

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