Question

Assertion (A): If f(x) = 5x -9x+1 is divided by (x-2), the remainder is 39. Reason (R) : If the polynomial S(x) is divided by (x-a), then remainder is f(a). a) A and R are true and R is the correct explanation of A b) A and R are true but R is not the correct explanation of A C) A is true but R is incorrect d) A is incorrect but R is true​​

Answer 1

Answer:

b.) Both A and R are true but R is not the correct explanation of A.

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Answer 2

D x+1

According to Remainder theorem

f(x)=(x−1)(x−2)Q

1

(x)+r(x)

r(x)=ax+b

f(1)=a+b=2 …(1)

f(2)=2a+b=3 …(2)

Subtract (1) from (2)

2a+b−a−b=3−2

⇒a=1 substitute in (1)

b=2−1=1

∴ a=b=1

So, r(x)=x+1

solly byy forever~

last answer ~