Question

if the remainder when the polynomial f(x) is divided by x-1,x+1 are 6,8 respectively then the remainder when f(x) is divided by (x-1)(x+1) is (1) 7-x (2) 7+x (3) 8-x (4) 8+x answer it correctly and don't send wrong or unnecessary answers

Answer 1

Answer:

F(x) = (x-1) q(x) + 5 …..1

F(x) = (x-2) q'(x) + 7 ……2

So F(1) = 5 and F(2) = 7.

Now F(x) is divided by (x-1)(x-2) it's is a polynomial of degree two.

Reminder should be a polynomial of degree less then 2. Say.. r=ax+b

Now.. F(x) = (x-1)(x-2) q”(x) + r

F(x) = (x-1)(x-2) q”(x) + (ax+b). ………3

@x=1. 5= a+b

@x=2. 7= 2a+b

Solve two equations and get the value of a and b. That's the ans.

r = 2x+3.

It might help you ❤❤

Answer 2

Answer:

plese kindly send aattachment with question o

plese don't report it