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Factor 42v+35.

Write your answer as a product with a whole number greater than 1.

1 answer

To factor the expression \( 42v + 35 \), we need to find the greatest common factor (GCF) of the coefficients of the terms involved.

The coefficients are 42 and 35.

  1. We can find the GCF:

    • The prime factorization of 42 is \( 2 \times 3 \times 7 \).
    • The prime factorization of 35 is \( 5 \times 7 \).
    • The common factor is 7.

  2. Now, we can factor out the GCF (which is 7) from the expression: \[ 42v + 35 = 7(6v + 5) \]

Thus, the factored form of \( 42v + 35 \) is: \[ \boxed{7(6v + 5)} \]