The one way to determine the factors of 4x³ + x² - 8x-2 by grouping would be option A; x²(4x + 1) - 2(4x +1).
Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities.
The given expression is
4x³ + x² - 8x-2
Take x² out from the first 2 terms
x²(4x + 1) - 8x-2
Take 2 out from the last 2 terms;
x²(4x + 1) - 2(4x +1)
Factors;
(x² - 2)(4x +1)
Therefore, the one way to determine the factors of 4x³ + x² - 8x-2 by grouping would be option A; x²(4x + 1) - 2(4x +1).
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