Factor. 3x^2+5x-2 square square

Question

Answer 1

To factor the quadratic expression

, we need to find two binomials whose product gives us the original expression. The general form of factoring a quadratic expression

is:

where

,

, and

.For the given expression

, we have

,

, and

. We need to find two numbers whose product is

and whose sum is

.The two numbers that satisfy these conditions are

and

because

and

.Now, we

using these two numbers:

Next, we group the terms:

Factor out the greatest common factor from each group:

Now, factor out the common binomial factor

:

So, the factored form of

is:

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