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

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Look for common factors: Look for common factors in pairs of terms. We will first look at the pairs of terms to see if there are any common factors. We will start with the first two terms, 7v^3 and -14v^2, and then the last two terms, -5v and +10. For the first pair, we can factor out a 7v^2: 7v^3 - 14v^2 = 7v^2(v - 2) For the second pair, we can factor out a -5: -5v + 10 = -5(v - 2)Rewrite with factored pairs: Rewrite the polynomial with the factored pairs. Now we rewrite the original polynomial using the factored pairs from Step 1: 7v^3 - 14v^2 - 5v + 10 = 7v^2(v - 2) - 5(v - 2)Factor out common binomial: Factor out the common binomial factor. We notice that (v - 2) is a common factor in both terms: 7v^2(v - 2) - 5(v - 2) We can factor out (v - 2) from the expression: (v - 2)(7v^2 - 5)Check for further factoring: Check for further factoring. The term 7v^2 - 5 does not have any common factors and cannot be factored further since 7 and 5 are prime numbers and there is no v term in -5 to factor out with 7v^2. So, the factored form of the polynomial is: (v - 2)(7v^2 - 5)

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

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Factor.\newline7v3−14v2−5v+107v^3 - 14v^2 - 5v + 107v3−14v2−5v+10

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