Question

Find the integral zeroes of the polynomial x3+3x2−x−3

Answer 1

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Answer 2

Answer:

$the \: zeroes \: of \:the \: polynomials \: are \: </p><p>1,- 1,- 3</p><p></p><p><strong>Step-by-step explanation:</strong></p><p>[tex][tex] {x}^{3} +{x}^{2} + x - 3 = 0\\ = ({x}^{3} - x) +(3{x}^{2} - 3) = 0 \\ = x({x}^{2} - 1) + 3 ({x}^{2} - 1) = 0\\ =({x}^{2} -1)(x +3) \\ = (x - 1)(x + 1)(x + 3) = 0$

$[tex]x = 1, - 1, - 3 \\ the \: zeroes \: of \:the \: polynomials \: are \: 1,- 1,- 3$[/tex]

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