Question

20. Find the values of a and b so that the polynomial (x - 10x² + ax + b) is
exactly divisible by (x - 1) as well as (x-2).
please give me my answer
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Answer 1

✨✨▫HEY▫✨✨

Given ,

The roots of the given polynomial is 1 and 2

Putting it into polynomial : -

putting x= 1

=> 1 - (10 ×1) + a×1 + b = 0

=> -9 + a + b = 0

=> a+ b= 9 ---------------------( i )

Now again putting values of [x = 2]

=> 2 - (10 ×4) + 2a + b=0

=> - 38 + 2a + b = 0

=> 2a + b = 38 -----------------(ii)

Here we get 2 equations putting the value of b from eq. (ii) into (i)

a + 38 - 2a = 9

-a = -29

a= 29

Find value of b in putting into any equation ............

b= - 20