Question

Find the remainder, when the polynomial 2x^4 + x^3 + 4x^2 − 3x − 2 is divided by x – 3.

Answer 1

Answer:

The remainder = 214

Step-by-step explanation:

By using remainder theorem,

Given,

f(x) = 2$x^{4}$ + $x^{3}$ + 4$x^{2}$ - 3x - 2

(x - a) = (x - 3)

Therefore, a = 3

Now, R = f(a) = f(3)

f(3) = 2 × $3^{4}$ + $3^{3}$ + 4 × $3^{2}$ - 3 × 3 - 2

     = 2 × 81 + 27 + 4 × 9 - 9 - 2

     = 162 + 27 + 36 - 9 - 2

     =  214