Question

18. Which of the following is a quadratic polynomial whose zeroes are reciprocal of zeroes of the polynomial p(x) = x² - 4x -5 ?

1.  x² - 4x/5 - 1/5
2.  x² + 4x/5 + 1/5
3.  x² + 4x/5 - 1/5
4.  x² - 4x/5 + 1/5

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Answer 1

Answer:

(3)

Step-by-step explanation:

x² - 4x - 5 = 0

$x_{1}$ = - 5 , $x_{2}$ = 1

reciprocal of zeros: - $\frac{1}{5}$ and 1

c = (- 1/5) * 1 = - 1/5

b = - 1/5 + 1 = 4/5

x² + 4x/5 - 1/5