Simplify the product using FOIL. (4x + 3)(2x + 5)?

2008-10-14 3:48 pm
A) 8x^2 + 14x - 15
B) 8x^2 - 14x - 15
C) 8x^2 + 26x + 15
D) 8x^2 - 26x + 15

回答 (15)

2008-10-14 5:07 pm
✔ 最佳答案
Hi,

For this question, we need to recall that FOIL stands for:

First

Outer

Inner

Last

Now, our work should look as follows in order to apply the method and get:

[4x][2x] + [5][4x] + [2x][3] + [3][5]

Next, simplify the above computations to get:

8x^2 + 20x + 6x + 15

At this point, you should now notice that we can simplify some more by adding the two linear terms and get:

8x^2 + 26x + 15 <==== FINAL ANSWER

OR

Choice C

I hope that helps you out! Please let me know if you have any other questions!
參考: College Calculus Student ; Math Tutor
2008-10-14 10:52 pm
= (4x + 3)(2x + 5)
= 8x² + 20x + 6x + 15
= 8x² + 26x + 15

Answer: C) 8x² + 26x + 15
2008-10-14 11:25 pm
(4x + 3)(2x + 5)
= 4x*2x + 3*2x + 4x*5 + 3*5
= 8x^2 + 6x + 20x + 15
= 8x^2 + 26x + 15
(answer C)
2008-10-14 10:55 pm
8x^2 + 20x + 6x +15

(combine alike terms) 20x+6x = 26x

8x^2 + 26x + 15

Answer is C.
2008-10-14 10:54 pm
(4x + 3)(2x + 5)

= 4x(2x + 5) + 3(2x + 5)
= 4x * 2x + 4x * 5 + 3 * 2x + 3 * 5
= 8x^2 + 20x + 6x + 15
= 8x^2 + 26x + 15

so C

since it was multiple choice, you could have known it was C because that's the only answer without negatives; the answer can only be positive because there's no negative in the initial product.
2008-10-14 10:54 pm
all yo have to do is first
8x^2
outside
20x
inside
6x
last
15
and the answer is 8x^2+26x+15

So the answer is C. Were you asleep in class
2008-10-14 10:51 pm
seriously?

ok, multiply each term by the other side...

8x^2 +6x + 20x + 15

8x^2 + 26x + 15

C)
2008-10-14 11:19 pm
8 x ² + 20 x + 6 x + 15
8 x ² + 26 x + 15
OPTION C)
2008-10-14 10:56 pm
You already got answers, so let me point out:

First, Outside, Inside, Last.
2008-10-14 10:54 pm
C - wow I forgot about FOIL lol


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