Find the value of, if is a factor of in the following case: .
Step 1: State the given data and the factor theorem
It is given that,
is the dividend.
And, is the divisor.
According to the factor theorem, a polynomial divided by a monomial results in the quotient with zero remainders if and only if is a factor of.
Now, let us put the divisor equal to zero.
Step 2: Applying factor theorem
If, is a factor of, then by Factor Theorem,
Hence, the required value of .