Question

When a polynomial f (x) is divided by x² - 9, then remainder is 3x + 2. But when the same polynomial is divided by (x - 3), then what will be the reminder? ​

Answer 1

Answer:

11

Step-by-step explanation:

Since 3x+2 is the remainder when f(x) is divided by x²-9, this means that for some (unimportant) polynomial g(x) we have

 f(x) = ( x² - 9 ) g(x) + 3x + 2

By the Remainder Theorem, the remainder when f(x) is divided by x-3 is f(3).  So the remainder is

 f(3) = ( 3² - 9 ) g(3) + 9 + 2  = 0 + 9 + 2 = 11

Hope this helps!

Answer 2

Answer:

11 is remainder of the polynomial is divided by x-3