The length of the rectangle represented by x^2-5x-24 is (x+3)
We have given that the,
The area of a rectangle is represented by x^2-5x-24.
We have to determine,
If the width of the rectangle is represented by x-8, express the length of the rectangle as a binomial.
You can find that by doing -24 / -8 = 3
So the second part will be x+3
( x + 3 )( x - 8 )
To see if it's true we can solve it
x^2 + 3x - 8x - 24
x^2 - 5x -24
Therefore the length of the rectangle is (x+3)=0
x=-3
length is not negative therefore length is 3.
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