Question

O 3
6. On dividing a polynomial p(x) by g(x) if the quotient and the remainder are found to be x and 3
respectively, then find p(x). g(x) is given below

g(x) =
x2 – 4.​

Answer 1

Step-by-step explanation:

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

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Answer 2

Answer:

Hope this will help u

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