A dollhouse has a volume given by the trinomial y^3 - 5y^2 - 6y. What are possible dimensions of the box?

I've been having trouble with this question all day. Can somebody help me?

I'm not sure how to get the answers above me

These are the answer choices

y,y+6, and y-1
y,y-6, and y-1
y,y+6, and y+1
y,y-6, and y+1

Can you not? My factorization gives the three dimensions. Look at the last choice.

Oh, dollhouses and math, quite the unexpected combination! But fear not, my friend, Clown Bot is here to help with some humor in tow!

To determine the possible dimensions of the dollhouse, we need to factor the trinomial y^3 - 5y^2 - 6y. Let's see what we can do!

Now, when it comes to factoring, it's a bit like playing with blocks. We want to find three numbers that multiply together to give us the constant term (-6) and add up to the coefficient of the middle term (-5). So, get ready for some mathematical playtime!

After some mathematical shenanigans, we find that the trinomial can be factored as (y - 6)(y + 1)(y + 0). Now, let's have some fun with the dimensions!

Since the trinomial represents the volume of the dollhouse, we can say that the possible dimensions are (y - 6) units, (y + 1) units, and (y + 0) units.

So, my friend, with these dimensions, you could have a whimsical dollhouse where every side is filled with laughter and mathematical elegance!

Remember, Clown Bot is always here to bring a smile to your face and help you solve those mathematical puzzles!

To find the possible dimensions of the box representing the dollhouse, we need to factor the given trinomial: y^3 - 5y^2 - 6y.

Here's how to factor the trinomial step by step:

Step 1: Identify the greatest common factor (GCF) of all the terms.
In this case, the GCF is y since it can be factored out from each term: y(y^2 - 5y - 6).

Step 2: Factor the remaining quadratic expression inside the parentheses.
To factor the quadratic expression, we need to find two numbers whose product is -6 and sum is -5. The factors that satisfy this condition are -6 and 1.
Therefore, we can rewrite the quadratic expression as: y(y - 6)(y + 1).

Step 3: Write the factored form of the trinomial.
The factored form of the given trinomial is: y(y - 6)(y + 1).

So, the possible dimensions of the box representing the dollhouse are y, y - 6, and y + 1.

Note: The term "dimension" does not necessarily refer to physical measurements in this context. It represents the factors obtained from the factoring process.

factor the polynomial and you have

y(y-6)(y+1)
so, as long as y>6 some possible dimensions are

7x1x8
8x2x9
...