Question

f(x) is a polynomial number. If f(x) is divided by (x-1) and (x-2) then the remainders are respectably 4 and 10. If f(x) is divided by (x-1)(x-2) then what will be the remainder?
please give answer and please please please show the process how to get answer of it.
please give correct answer.
I really need it.
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Answer 1

Answer:

Step-by-step explanation:

let f x =(x-1)q(x)+4

so f(1)=4--------(1)

now f(x)=(x-2)*q(x)+10

so f(2)=10-----(2)

now let remainder be ax+b when f(x) is divided by(x-1)(x-2)

so

f(x)=(x-1)(x-2)g(x)+(ax+b)

putting values of 1 and 2 in the above equation

4=a+b

10=2a+b

solving we will get

a=6

and b=-2

hope it helps

Answer 2

Answer:

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Step-by-step explanation:

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