Final answer:
To factor the expression 5x² + 33x + 14, we can use the FOIL method and find that the correct factorization is (5x + 2)(x + 7).
Step-by-step explanation:
To factor the expression 5x² + 33x + 14, we need to find two binomials that when multiplied together, give us the original expression.
We can use the FOIL method to factor the expression. FOIL stands for First, Outer, Inner, Last.
When we apply the FOIL method to the expression (5x + 2)(x + 7), we get 5x² + 35x + 2x + 14. Combining like terms, we find that this expression is equivalent to the original expression. Therefore, the correct factorization is (5x + 2)(x + 7), which is option a).