Question

8. What number should be added to x3 - 13x+2xsuch that when the resulting polynomialis divided by
(x-3), the remainder is 4? please give answer​

Answer 1

Answer:

10

Step-by-step explanation:

f (x) = x³ -13x + 2x

let the number to be added be y

x - 3 = 0

x = 3

remainder = 4

f (x) = x³ -13x + 2x + y = 4

f ( 3 ) = 3³ - 13  × 3 + 2 × 3 + y = 4

27 -39 + 6 + y = 4

27 -33 + y = 4

- 6 + y = 4

y = 6+ 4

y = 10

Answer = 10