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3 years ago

What is the product?

Mathematics

2 answers:

Anton [14]3 years ago

6 0

Answer:

2x^2 +5x-3

Step-by-step explanation:

(x+3)(2x-1)

FOIL

first :(x*2x) = 2x^2

outer: x*-1 = -x

inner: 3*2x = 6x

last: -1 *3 = -3

Add together

2x^2 -x+6x-3

Combine like terms

2x^2 +5x-3

slavikrds [6]3 years ago

5 0

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!

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