Question

if x cube + a x square - 3 x + 10 is divided by x square-3 x + 2 find the value of a and b​

Answer 1

Answer:

Step-by-step explanation:

x3  + a x2 – bx + 10 is divisible by x2 – 3 x + 2

Factors of x2 – 3 x + 2 are (x - 1) (x - 2)

Hence, f(1) = 0  

1 + a - b + 10 = 0

a - b = - 11..........(i)

f(2) = 0

23 + 22 a - 2b + 10 = 0

8 + 4a - 2b = -10

4a - 2b = - 18

2a - b = -9..........(ii)

Subtracting (i) from (i)

a - 2a - b + b = -11 + 9

-a = -2

a = 2

Consider,

a - b = -11

2 - b = -11

2 + 11 = b

b = 13