Question

find all the zeros of 2 x power 4 - 3 x cube minus 3 X square + 6 x minus 2 if you know two zeros are root 2 and minus root 2 ​

Answer 1

Answer:

$px = {2x }^{4} - {3x}^{3} - {3x}^{2} + 6x - 2 \\ given \: zeros = \sqrt{2} and - \sqrt{2} \\ x = \sqrt{2 } \: \: \: and \: x = - \sqrt{2} \\ x - \sqrt{2 } = 0 \: \: \: and \: \: x + \sqrt{2 } = 0 \\ multiplying \: \\ |x - \sqrt{2} | \\ |x + \sqrt{2} | \\ {x}^{2} - 2 \\ dividing \: px \: by \: {x}^{2} - 2 \\ \\ 2 {x}^{2} - 3x + 1 = 0 \\ 2 {x}^{2} - 2x - x + 1 = 0\\ 2x(x - 1) - 1(x - 1) = 0 \\ (2x - 1)(x - 1) = 0 \\ x = 1.....x = \frac{1}{2} \\ hope \: this \: helps \: you \: plzz \: mark \: as \: brinliest \: .......$