Answer:
Step-by-step explanation:
Find two numbers that multiply to give the product of the coefficient of the quadratic term and the constant term, which in this case is 3 x 2 = 6.
Find two numbers that add up to the coefficient of the linear term, which in this case is 5.
Rewrite the quadratic expression as a sum of the two numbers found in step 2, and factor by grouping.
Using these steps, we can factorize the quadratic expression as follows:
3x^2+5x+2=(3x+2)(x+1)
Therefore, the factorized form of 3x^2+5x+2 is (3x+2)(x+1).
