The area of a rectangular swimming pool can be represented by the expression #(3x^4-12x^3+ 15x^2)# square feet. The length of the pool is equal to the GCF. What are the length and width of the pool?

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Answer 1 · 2018-04-20T07:42:13

Length is: #3x^2#

Width is: #(x^2-4x+5)#

Area is length x width.

If #3^4-12x^3+15x^2# represents the area, then we need to find 2 factors of this.

The greatest common factor of the 3 terms is #3x^2#, so:

#3x^2(x^2-4x+5)#

Length is: #3x^2#

Width is: #(x^2-4x+5)#