Answer:
The third option. 2x^2+5x-3.
Step-by-step explanation:
The product means to multiply them.
(x+3)(2x-1)
You don't multiply x to 2x and 3 and -1.
That is not the product and say it is 2x^2-3.
You have to multiply x to both 2x and -1.
You don't only multiply the terms that correspond with each other.
You have to do x times 2x and x times -1.
2x times x is 2x squared or 2x^2.
x times -1 is -x.
So you have 2x^2-x.
Leave that there for now.
Now, you have to multiply 3 with 2x and -1.
3 times 2x is 6x and 3 times -1 is -3.
Then you have 6x-3.
Bring back the 2x^2-x with the 6x-3.
Now you have 2x^2-x+6x-3.
You always have to simplify.
Combine like terms. -x plus 6x is 5x.
Therefore, you are left with 2x^2+5x-3.
That is the product of (x+3)(2x-1).
you can check by dividing the polynomials as well.
I hope this clarifies things!
