Factor. 10n^3 - 14n^2 + 5n - 7 ______

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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.Factor First Two Terms: Factor out the common factor from the first two terms. The first two terms are 10n^3 and -14n^2. The greatest common factor (GCF) of these terms is 2n^2. 10n^3 - 14n^2 = 2n^2(5n - 7)Factor Last Two Terms: Factor out the common factor from the last two terms. The last two terms are 5n and -7. These terms do not have a common numerical factor other than 1, but we can still group them as a single term. 5n - 7 = 1(5n - 7)Combine Groups: Write the expression as the sum of the two groups. Now we have factored the first two terms and the last two terms, we can write the expression as: 2n^2(5n - 7) + 1(5n - 7)Factor Out Binomial: Factor out the common binomial factor. We can see that the binomial (5n - 7) is common in both groups, so we can factor it out. 2n^2(5n - 7) + 1(5n - 7) = (5n - 7)(2n^2 + 1)Verify Factorization: Verify the factored form by expanding it to see if it matches the original expression. (5n - 7)(2n^2 + 1) = 5n(2n^2) + 5n(1) - 7(2n^2) - 7(1) = 10n^3 + 5n - 14n^2 - 7 = 10n^3 - 14n^2 + 5n - 7 This matches the original expression, so our factorization is correct.

Factor. $\newline$ $10n^3 - 14n^2 + 5n - 7$

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Factor.\newline10n3−14n2+5n−710n^3 - 14n^2 + 5n - 710n3−14n2+5n−7

Factor. $\newline$ $10n^3 - 14n^2 + 5n - 7$