Answer:
The width is 3x^2
The length is (4x^2+2x+5)
Explanation:
12x^4 + 6x^3 + 15x^2
Lets find the greatest common factor
12x^4 = 3*4 x*x*x*x = 3*2*2 x*x*x*x
6x^3 = 3*2 *x*x*x
15x^2 = 5*3*x*x
The common term for each is 3*x*x
The greatest common factor is 3x^2
What is left after factoring will be the length
12x^4 = 3*4 x*x*x*x = 3*2*2 x*x*x*x = 3x^2 (2*2*x*x) = 3x^2(4x^2)
6x^3 = 3*2 *x*x*x = (3x^2)(2x)
15x^2 = 5*3*x*x3x^2(5)
12x^4 + 6x^3 + 15x^2 = 3x^2(4x^2+2x+5)
The width is 3x^2
The length is (4x^2+2x+5)