Question

Factor 35r+30s+45t+20.
Write your answer as a product with a whole number greater than 1.

Answer 1

To factor the expression \( 35r + 30s + 45t + 20 \), we first identify the greatest common factor (GCF) of the coefficients: 35, 30, 45, and 20.

1. The factors of each coefficient are:
- \( 35 = 5 \times 7 \)
- \( 30 = 5 \times 6 \)
- \( 45 = 5 \times 9 \)
- \( 20 = 5 \times 4 \)

2. The GCF of the coefficients is \( 5 \).

Now, we can factor out \( 5 \) from the expression:

\[
35r + 30s + 45t + 20 = 5(7r + 6s + 9t + 4)
\]

Thus, the factorization of the expression is:

\[
\boxed{5(7r + 6s + 9t + 4)}
\]