Question

f (x)= x^3+ax^2+bx+6 is divisible by (x-2) and if it is divided by (x-3) then it leaves 3 as remainder . find a and b​

Answer 1

Answer:

Step-by-step explanation:

The value of a and b are -3 and -1 respectively.

Step-by-step explanation:

Given that (x-2) is a factor of polynomial

Also when divided by (x - 3) leaves a remainder 3.

we have to find the value of a and b.

As 2 is the zero of the polynomial therefore by remainder theorem

    →   (1)

∴

    →   (2)

Solving (1) and (2), we get

Subtracting equation (2) from (1)

Hence, the value of a and b are -3 and -1 respectively.

Answer 2

Answer:

here is your answer

I hope this will help you