Question

find the remainder.
please also write the steps. don't give direct answer.

Answer 1

hiii!!!

here's ur answer...

the easy way to find the remainder is by remainder theorem.

given p(y) = 4y³ - 12y² + 5y - 4

g(y) = 2y - 1 = 0

2y = 1

y = 1/2

on putting values :-

p (1/2) = 4(1/2)³ - 12(1/2)² + 5(1/2) - 4

= 4(1/8) - 12(1/4) + 5/2 - 4

= 1/2 - 3 + 5/2 - 4

= 6/2 - 7

= 6/2 - 14/2

= -8/2

= -4

-4 is the remainder of the given equation.

hope this helps..!!

Answer 2

$p(x) = {4y}^{3} - {12y}^{2} + 5y - 4 \\ g(x) = 2y - 1 \\ if \: f(x) \div g(x) \\ we \: get \: \\ remainder = - 4$

remainder is -4