Question

If a polynomial f(x) is divided by x²-16 then remainder is 5x +3, what will be
the remainder when the same polynomial is divided by (x + 4)?​

Answer 1

Answer:

 If a polynomial f(x) is divided by x²-16 then remainder is 5x +3, ... when the same polynomial is divided by (x + 4)?. 

Answer 2

Answer:

remainder = -17

Step-by-step explanation:

Suppose divider = d (x) = x²-16

and r (x) = 5x + 3

Now Suppose f (x) = q * d (x) + r (x)

Or f (x) = q * (x²-16) + 5x + 3 ................. (1)

If f (x) is divided by x + 4, then x = -4.

And according to the remainder theorem r '(x) = f (-4)

r '(x) = f (-4)

= q * {(-4) ²-16} +5 (-4) +3

= q (16-16) -20 + 3

= 0-17

r '(x) = -17

Hence remainder = -17