write the polynomials the product and sum of whose zeroes are -9/2 and-3/2respectively.
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Step-by-step explanation:
The product of the polynomials = -²/9
The sum of zeroes = -³/2
The polynomial so required :
K[x²-(sum of zeroes)x+product of Zeroes]
\begin{lgathered}k({x}^{2} + \frac{3}{2} x - \frac{2}{9} ) \\ \\ k( \frac{18 {x}^{2} + 27x - 4}{18} ) \\\end{lgathered}
k(x
2
+
2
3
x−
9
2
)
k(
18
18x
2
+27x−4
)
Where k = 18
So the required polynomial is 18x²+27x-4.
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