Question

if (2x - 1) is a factor of polynomial

$4x { }^{2} + 16x + 1$
, then find the remainder
​

Answer 1

Answer:

AnsWer:- Remainder is 10.

Hope it helps you ❤❤❤

Answer 2

Remainder = 10  if 4x²  + 16x + 1 is divided by (2x - 1)  

Step-by-step explanation:

if (2x - 1) is a factor of polynomial 4x²  + 16x + 1

Then remainder should be  0

So Correct Question would be

if 4x²  + 16x + 1 is divided by (2x - 1)  then what would be remainder

               2x + 9

2x - 1  _|  4x²  + 16x + 1  |_

               4x² - 2x

             __________

                      18x  + 1

                     18x  - 9

                      _________

                             10

Remainder = 10

Quotient = 2x+9

Another method

f(x) = 4x²  + 16x + 1

Divided by 2x - 1  => x = 1/2

f(1/2)  =  4(1/2)² + 16(1/2) + 1

=> f(1/2) = 1 + 8 + 1

=> f(1/2) = 10

remainder = 10

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