Question

If (x^5 – 9x^2 + 12x - 14) is divided by (x - 3), the remainder is :​

Answer 1

If (x^5 – 9x^2 + 12x - 14) is divided by (x - 3), the remainder is 184.

The given expression is f(x) = x⁵ -9x² + 12x - 14 .

This expression is divided by (x-3)

To find the remainder, we equate the divisor to 0.

So, x-3 = 0

⇒ x = 3.

To get the remainder, we find f(3)

We substitute x = 3, in f(x).

f(3) = (3)⁵ - 9(3)² + 12(3) - 14

     = 243 - 81 + 36 - 14

     = 184.

This is the remainder.  

Answer 2

Answer:

184

Step-by-step explanation:

f(x)

x=3

f(3) = (3)⁵-9(3)²+12(3)-14

= (3)⁵-9(3)²+12(3)-14

=243-81+36-14

= 162+22

=184

Thus the remainder is 184