The remainder of a polynomial f(x) in x are 10 and 15 respectively when f(x) is divided by (x-3) and (x-4).Find the remainder when f(x) is divided by (x-3)(-4)?
The remainder of a polynomial f(x) in x are 10 and 15 respectively when f(x) is divided by (x-3) and (x-4).Find the remainder when f(x) is divided by (x-3)(x-4)?
The remainder of a polynomial f(x) in x are 10 and 15 respectively when f(x) is divided by (x-3) and (x-4).Find the remainder when f(x) is divided by (x-3)(x-4)?
1 Answer
Explanation:
Recall that the degree of the remainder poly. is always
less than that of the divisor poly.
Therefore, when
If
have,
Then, by
Similarly,
Solving
These give us,