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

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Look for Common Factor: Look for a common factor in all terms. Check if there is a common factor that can be factored out from all terms in the polynomial 14r^3 - 10r^2 - 7r + 5. There is no common factor other than 1.Group Terms for Factoring: Group terms to facilitate factoring by grouping. Group the terms into two pairs: (14r^3 - 10r^2) and (-7r + 5).Factor Out Common Factor: Factor out the greatest common factor from each group. From the first group (14r^3 - 10r^2), factor out 2r^2, which gives us 2r^2(7r - 5). From the second group (-7r + 5), we can factor out -1, which gives us -1(7r - 5).Write Factored Groups: Write the expression with the factored groups. Now we have 2r^2(7r - 5) - 1(7r - 5).Factor Out Common Binomial: Factor out the common binomial factor. The common binomial factor is (7r - 5). Factor this out from the expression. This gives us (7r - 5)(2r^2 - 1).Check Quadratic Factor: Check if the quadratic factor can be factored further. The quadratic factor 2r^2 - 1 is a difference of squares and can be factored as (sqrt(2)r - 1)(sqrt(2)r + 1).Write Final Factored Form: Write the final factored form of the polynomial. The final factored form of the polynomial is (7r - 5)(sqrt(2)r - 1)(sqrt(2)r + 1).

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

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Factor.\newline14r3−10r2−7r+514r^3 - 10r^2 - 7r + 514r3−10r2−7r+5

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