Question

Find the value of K if, (x-2) is the factor of polynomial (3x*2- x + K).

​

Answer 1

Answer:

The answer is is $K=-10$

Step-by-step explanation:

• Factor theorem : If $x-a$ is a factor of a polynomial P(x), then $P(a)=0$

        Here given $x-2$ is a factor of $P(x)=3x^2-x+K$

                                $\Rightarrow P(2)=0\\\Rightarrow 3(2)^2-2+K=0\\\Rightarrow 3(4)-2+K=0\\\Rightarrow 10+K=0\\\Rightarrow K=-10$