Question

if the zeros of the polynomial P(x)= 2x²+5x+k=0 are opposite with each other then k=...?
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Answer 1

k=2

Step-by-step explanation:

if the zeroes of the polynomial P(x) = 2x²+ 5x + k are reciprocal of each other, then k=

P(x) = 2x²+ 5x + k

Let the zeros of P(x)

are α and 1/a

Then product of zeros :

=\alpha \times{\frac{1}{\alpha } =\frac ca=\frac k2

\begin{gathered}So \ \frac k2=1\\\\\bf k=2\end{gathered}

So

2

k

=1

k=2

Answer 2

Answer:

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