write a polynomial for the length of the rectangle: area is- 7xto the 4th power minus 14x. the width is 7x.
l x w = area
l(7x) = 7x^4 - 14
l = (7x^4-14x)/(7x)
= x^3 - 2
To find the length of a rectangle, we can use the formula for the area of a rectangle, which is given by length multiplied by width. In this case, the area is given as 7x^4 - 14x, and the width is given as 7x.
So, to find the length, we need to divide the area by the width:
Length = Area / Width
Substituting the given values:
Length = (7x^4 - 14x) / (7x)
Now, we can simplify this expression by canceling out the common factors:
Length = (7x * (x^3 - 2)) / (7x)
The 7x in the numerator and denominator can be canceled out, resulting in:
Length = x^3 - 2
Thus, the polynomial for the length of the rectangle is given by x^3 - 2.