Can somebody help me solve x^3+10x^2+25x??

Question

I am terrible in math if somebody could help me I would really appreciate it.

Answer 1

x^3 + 10x^2 + 25x

I presume when you say "solve" you mean factor, in this case.

We first pull out the monomial x, since it is common to all terms.

x(x^2 + 10x + 25)

Now, we factor the quadratic as normal. What two numbers do you multiply to get 25, and add to get 10? The answer to that is 5 and 5, so that's how it factors.

x(x + 5)(x + 5)

Or, quite simply,

x(x + 5)^2

Answer 2

x^3+10x^2+25x factor out x
x(x^2+10x+25) the trinomial is a perfect square
x(x+5)^2

Answer 3

x^3+10x^2+25x
= x(x^2 + 10x + 25)
= x(x+5)(x+5)
Set each factor = 0 and you get x = 0, x= -5, and x = -5.
x= -5 is a double root.

Answer 4

x^3 + 10x^2 + 25x = 0

First, factor out the x, since it is common to each term, this results in..
x(x^2 + 10x +25) = 0

The equation in the parentheses can be factored, resulting in the equation
x(x+5)(x+5) = 0
= x(x+5)^2 = 0

Then, solve each portion for x.

x = 0.
In this case, x simply equals zero.

x+5 = 0
x = -5
In this case, x equals -5.

Therefore, the final answer is x = 0, -5

Answer 5

x^3 + 10x^2 + 25x
Factor out a x:
x (x^2 + 10x + 25)
Notice that x^2 + 10x + 25 is a perfect square (x^2 + 2xy + y^2):
x (x + 5) ( x + 5)
x = 0 or -5

Hope I helped!
10 points best answer?

Answer 6

sure...

It is a lot simpler than it looks. I presume you it is equal to 0, so start out by looking for common factors. In this equation, there is at least one x in each term.

So,
x(x^2 +10x+25)=0

Then, factor the expression inside the parentheses.
To factor, start with

x(x + )(x + )=0

then try to put in numbers in the second halves so that those two numbers multiply to 25 and add to 10.

Clearly, it is just five and five.
x(x+5)^2 =0

in order for it to equal 0, one of the things you multiply has to be 0. Therefore, x is either equal to negative five or zero.

Answer 7

x^3+10x^2+25x
x(x^2+10x+25)
x(x+5)(x+5)

now you have it in 3 factors

Answer 8

don't freak out because i'll help you get it alright?

it's asking you to simplify it.
so here we go.

first of all, you'r not familiar with x^3
so make it x^2!
ok, then you'll ask me how!!!
ok then see your question
x^3+10x^2+25x

now any idea?
if you look at it closely, you'll find that there are xs like x^3, 10x^2,25x.
so you can make the equation like
x(x^2+10x+25)
right?

now you'r familiar with the equation within the bracket.

which can be converted like this
x(x+5)(x+5)
you got it?

this can be simplified like this again
x(x+5)^2

which is...
yes! the answer you'r looking for!

here are some tips for you
always LOOK FOR SOME COMMON FACTOR THAT YOU MIGHT PULL IT OUT TO MAKE THE EQUATION SIMPLE!
then, there will be no tricky question for you!

ps. it's not asking you to solve for x
you can't because, as you can see, there's no = sign.
i suppose some answers above are wrong..

Answer 9

x^3+10x^2+25x
x(x^2+10x+25)
x(x+5)(x+5)
x[(x+5)^2]

Answer 10

D