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Find a quadratic polynomial whose zeroes are 6 and – 3. - Mathematics

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प्रश्न

Find a quadratic polynomial whose zeroes are 6 and – 3.

योग

उत्तर

P(x) = k[x2 – Sx + p]

where k = non-zero constant

S = sum of zeroes

p = product of zeroes

∴ P(x) = k[x2 – (6 – 3) + 6(– 3))

= k(x2 – 3x – 18)

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