Question

Find a quandratic polynomial Whose zeroes are 5 and 8

Answer 1

Sum of zero = 5+8= 13 = -b/a

product of zero = 5×8 = 40 = c/a

Eq required = x²-13x+40

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Answer 2

Given,

$zeroes \: are \: 5 \: and \: 8$

$factors \: are \: (x - 5) \: and \: (x - 8)$

$(x - 5)(x - 8) \\ x(x - 8) - 5(x - 8) \\ {x}^{2} - 8x - 5x + 40 \\ {x}^{2} - 13x + 40$