Question

If ( x - 3 ) is a factor of the polynomial ( 2x² + x + k ), find k.​

Answer 1

Answer:

-21

Step-by-step explanation:

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Answer 2

Given:  A factor of a polynomial is$(x-3)$, and the equation is$2 x^{2}+x+k=0$.

We have to find the value of $k.$

We are solving in the following way:

We have $(x-3)$is a factor of the polynomial.

$\therefore x-3=0\\=>x=3$

By putting this value of $x$ in the given equation we are finding the value of $k.$

Now,

$=>2 x^{2}+x+k=0\\=>2\times 3^{2}+3+k=0\\=>2\times9+3+k=0\\=>18+3=k$

Solving the above equation further we get,

$=>k=-21$

Hence, the value of $k$will be$-21$.