Factor. 8x^3 - 16x^2 - 7x + 14 ______

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Identify Common Factors: Look for common factors in pairs of terms. We can try to factor by grouping, which involves combining terms that have common factors. We'll look at the first two terms and the last two terms separately. First pair: 8x^3 - 16x^2 Second pair: -7x + 14Factor by Grouping: Factor out the greatest common factor from the first pair of terms. The greatest common factor of 8x^3 and 16x^2 is 8x^2. 8x^3 - 16x^2 = 8x^2(x - 2)Factor First Pair: Factor out the greatest common factor from the second pair of terms. The greatest common factor of -7x and 14 is 7. -7x + 14 = 7(-x + 2)Factor Second Pair: Rewrite the original polynomial using the factored pairs. 8x^3 - 16x^2 - 7x + 14 = 8x^2(x - 2) + 7(-x + 2)Rewrite Using Factored Pairs: Look for a common binomial factor from the two terms. We notice that the binomial factors (x - 2) and (-x + 2) are not the same, but (-x + 2) is the negative of (x - 2). We can factor out -1 from the second term to make the binomials match. 8x^2(x - 2) + 7(-x + 2) = 8x^2(x - 2) - 7(x - 2)Find Common Binomial Factor: Factor out the common binomial factor. Now that we have a common binomial factor of (x - 2), we can factor it out. 8x^2(x - 2) - 7(x - 2) = (x - 2)(8x^2 - 7)

Factor. $\newline$ $8x^3 - 16x^2 - 7x + 14$

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Factor.\newline8x3−16x2−7x+148x^3 - 16x^2 - 7x + 148x3−16x2−7x+14

Factor. $\newline$ $8x^3 - 16x^2 - 7x + 14$