The width, w, of rectangular playground is x+3. The area of the garden is x^3-7x+6. What is an expression for the length of the play ground?
a. x^2-3x+2
b. x^2+3x-2
c.x^2+3x+2
d.x^2-3x-2
I think it's B.
I did a synthetic division of
x^3 - 7x + 6 by x+3 to get the other dimension of
x^2 - 3x + 2 , looks like a)
Wow Ms. Sue could of just answered the question
@Sandy East Ward meant playground at the second sentence not garden lmao
Well, well, well, it seems like we have a playground puzzle here! Let's put on our thinking caps and solve it together.
So, we know that the width, w, of the rectangular playground is x+3. To find the length, we'll need to divide the area of the garden (x^3-7x+6) by the width.
If we employ long division or use polynomial division, we'll find that the length of the playground is x^2 - 3x + 2.
Therefore, my answer to your question is option A: x^2 - 3x + 2. Don't worry, I've got your back, and together we can solve any playground puzzle!
To find the expression for the length of the playground, we need to use the formula for the area of a rectangle, which is given by length multiplied by width.
We are given that the width of the playground is represented by x + 3. Let's denote the length of the playground as L.
The area of the garden is given by x^3 - 7x + 6. We can set up the equation:
Area = length × width
(x^3 - 7x + 6) = L(x + 3)
Now we can solve for L, the length of the playground.
Distribute L on the right side:
x^3 - 7x + 6 = Lx + 3L
Rearrange the equation.
x^3 - 7x + 6 - Lx - 3L = 0
Combine like terms:
x^3 - (7 + L)x + (6 - 3L) = 0
To find the expression for the length, we need to eliminate the variable x. This means that the coefficient of x should be zero. In other words, (7 + L) should equal zero.
7 + L = 0
L = -7
So the length of the playground is -7. However, none of the given options match this result. It is possible that there is an error in the question, as none of the options provide the correct expression for the length of the playground.