Question

Factorize x^7+2x^4+1

Answer 1

[math]x(x + 7) = (2x - 1)(x + 4)[/math]

[math]x^2 + 7x = 2x^2 + 8x - x - 4[/math]

[math]x^2 + 7x = 2x^2 + 7x - 4[/math]

[math]x^2 = 2x^2 - 4[/math]

[math]x^2 - 4 = 0[/math]

[math](x - 2)(x + 2) = 0[/math]

[math]x = -2, 2[/math]

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