Answer:
(x + 6)(3x + 7)
Step-by-step explanation:
To factor the expression 3x^2 + 25x + 42, we will find two numbers that adds up to 25 and multiplies to 126. Whenever you have a trinomial like this and need to factor, find two numbers that adds up to the middle term and multiplies to product the first term and the third term.
So the two numbers are 7 and 18. So we will replace the middle term, which is 25x with 7x and 18x. And we'll have:
3x^2 + 7x + 18x + 42
Now we will split this expression up:
(3x^2 + 7x) + (18x + 42)
We will find the greatest common factor for both expressions in the parentheses and factor:
x(3x + 7) + 6(3x + 7)
Now we will put them together:
(x + 6)(3x + 7)
