Question

if the zeroes of the polynomial
$x ^{3} - 3x + x + 1 \: are \: (a - b) \: and \:( a) \: and \: (a + b) \: find \: a \: and \: b$
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Answer 1

Answer:

here's your answer i hope you understand

thanks :)

Answer 2

Answer:

Sum of roots = a - b + a + a + b = 3.

=> 3a = 3.

=> a = 1.

Product of roots = (a - b)a(a + b) = -1.

=> (a² - b²)a = -1.

=> a³ - ab² = -1.

=> (1)³ - (1)b² = -1. (a = 1).

=> 1 - 1b² = -1.

=> -1b² = -1 - 1.

=> -1b² = -2.

=> b² = 2.

=> b = ±√2.