Question

Find the quadratic polynomial the sum and product of whose zeroes are 2/5 and 21

Answer 1

Answer:

5x² - 2x + 105

Step-by-step explanation:

Sum of Zeroes = 2/5

Product of Zeroes = 21

.°. Polynomial:

>> k [x² - (Sum of Zeroes)x + Product of Zeroes]

>> k [x² - (2/5)x + 21]

>> k [x² - 2x/5 + 21]

Taking L.C.M. = 5

>> k [(5x² - 2x + 105)/5]

>> 1/5 [5x² - 2x + 105]

On Removing the "k" part ,

.°. 5x² - 2x + 105

So, 5x² - 2x + 105 is the Required Polynomial.

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