Are you sure that (2x+1)(x+3) is the factored version of 2x^2+5x+3?
I am not at all sure.
Sorry this was meant for Reiny
OK, well the product of those factors is
2 x^2 + 7 x + 3
Try
(2x+3)(x+1)
ok thanks
No, I am not sure if (2x+1)(x+3) is the factored version of 2x^2+5x+3. To determine if it is the correct factored form, we need to perform the multiplication and see if we obtain the original expression.
Let's start by multiplying (2x+1)(x+3):
(2x+1)(x+3) = 2x(x+3) + 1(x+3) (Using the distributive property)
= 2x^2 + 6x + x + 3 (Multiplying each term)
= 2x^2 + 7x + 3 (Combining like terms)
As we can see, the result of (2x+1)(x+3) is 2x^2 + 7x + 3, not 2x^2 + 5x + 3. Therefore, (2x+1)(x+3) is not the correct factored form of 2x^2+5x+3.