When reading some schematics of a rectangular garden you see the binomial x +8 feet represents the length and the binomial x - 1 represents the width. Write an expression that represents the total area of the garden in the form x2 (squared) + bx + c by using the distributive property.
Online "^" is used to indicate and exponent, e.g., x^2 = x squared.
x^2 + 7x - 8
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To find the total area of the garden, we need to multiply the length and width.
The length of the garden is represented by the binomial x + 8 feet.
The width of the garden is represented by the binomial x - 1 feet.
To find the total area, we can use the formula A = length * width.
A = (x + 8)(x - 1)
Now, let's use the distributive property to multiply the binomials:
A = x(x - 1) + 8(x - 1)
Multiplying x by x and x by -1, we get:
A = x^2 - x + 8x - 8
Simplifying further:
A = x^2 + 7x - 8
Therefore, the expression that represents the total area of the garden is x^2 + 7x - 8.