use factor theorem to determine whether x-root2 is a factor of 7xsquare-2root8x- 6
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Step-by-step explanation:
1) According to Factor Theorem.
2) (x - √2), x = √2.
3) Therefore, 7x² - 2√8x - 6 = 0, If x = √2.
4) 7(√2)² - 2√8√2 - 6 = 14 + 8 - 6 = 16 ≠ 0.
5) Therefore (x - √2) is not a factor of 7x² - 2√8x - 6
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