Question

find the values of A and B so that the polynomial of x³- 10 x² + a x + b is exactly divisible by (x-1) as well as(x-2)

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Answer 1

Step-by-step explanation:

x=1

1-10+a+b=0

-9+a+b=0

a+b=9 ......1

x=2

8-10×4+2a+b=0

-32+2a+b=0

2a+b=32 ......2

SUBTRACT EQ. 1 FROM 2

a=9-b

2(9-b)+b=32

18-2b=32

-2b=14

b=-7

a=16

#BAL

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