Question

20.If α and β are zeroes of the polynomial x² -2x – 15 ,then from a quadratic

polynomial whose zeroes are 2α and 2β.​

Answer 1

Answer:

x^2-2x-15=0

roots= -3 and 5

alpha =-3 and beta =5

2alpha = 9 and 2 beta= 25

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Answer 2

Answer:

$x {}^{2} - 2x - 15$

$x {}^{2} - (5 - 3)x - 15$

$x {}^{2} - 5x + 3x - 15$

$x(x - 5) + 3(x - 5)$

$(x + 3)(x - 5)$

$x + 3 = \: \: \: \: \: x = - 3 = \alpha$

$x - 5 = \: \: \: \: \: \: \: x = 5 = \beta$