Question

This is the answer i got to the question but its not right, someone please help. 5x^5+4x+1


Find the volume of a rectangular prism if the length is x, the width is x2, and the height is 5x2 + 4x + 1.


Use the formula
V = l ⋅ w ⋅ h, where l is length, w is width, and h is height, to find the volume.

Answer 1

@phi

Answer 2

You forgot to distribute. For example, x(x+1) wouldn't be x^2+1, you would have to distribute the x to all your terms, so it would equal x^2+x. If you distribute your x and x^2, you'll get the right answer, your 5x^5 is right, but the 4x+1 is what you need to fix.

Answer 3

How would i do that

Answer 4

wouldnt it stay the same because its being simplified?

Answer 5

Doing it with the x would be x(5x^2+4x+1), so you would multiply the x by each term (5x^2, 4x, and 1). This would be 5x^3+4x^2+x. Now just do that with your x^2 as well. You always distribute, even when being simplified. It's a property of multiplication.

Answer 6

10x^2

Answer 7

the idea is if you have (for example)
1 cow + 1 horse

and you want 2 times as many: 2*(1 cow + 1horse) you do 2*1 cow + 2*1 horse
and get 2 cows+ 2 horses

that idea still works for letters
x*x^2 * (5x^3+4x+1)

first do x*x^2 to get x^3 (you can do that , right ?)
now you have
x^3 * (5x^3+4x+1)

you multiply by each term in the sum

Answer 8

can you do this or is it still confusing ?

Answer 9

5x^6+4x^4+x^3

Answer 10

yes! but I made a typoed
I should have written
x^3 * ( 5x^2 + 4x + 1)

Answer 11

so the answer is
5x^5+4x^4+x^3

Answer 12

thank you

Answer 13

can you help me with one more

Answer 14

did you post it ?

Answer 15

i will tag you