Question

24. Factorise x⁴ - 3x² +2.​

Answer 1

Answer:

${x}^{4} - 3 {x}^{2} + 2$

${x}^{4} - (2 + 1) {x}^{2} + 2$

${x}^{4} - 2 {x}^{2} - {x}^{2} + 2$

${x}^{2} ( {x}^{2} - 2) - ( {x}^{2} - 2)$

$( {x}^{2} - 2)( {x }^{2} - 1)$

$taking$

$( {x}^{2} - 2)$

$(x + 2)(x - 2)$

$x = - 2and \: 2$

$taking$

$( {x}^{2} - 1)$

$(x + 1)(x - 1)$

$x = - 1 \: and \: 1$

x=-1,1,-2,2