Respuesta :
Area equals length times width
If you factor the binomial..
g(x)=(2x-1)(x-6)
Then the longer side length can be (2x-1) and width can be (x-6) of a rectangular area g(x).
If you factor the binomial..
g(x)=(2x-1)(x-6)
Then the longer side length can be (2x-1) and width can be (x-6) of a rectangular area g(x).
Answer:
Rectangle
Step-by-step explanation:
Given is a polynomial in x of second degree as
[tex]g(x) = 2x^2 − 13x + 6[/tex]
representing area in square feet.
Let us check whether we can factorise the polynomial
We can split middle term as 12 and 1
[tex]g(x) = 2x^2 − 12x-x + 6\\=2x(x-6)-1(x-6)\\=(2x-1)(x-6)[/tex]
Thus the polynomial is a product of two factors
Hence the area represents area of a rectangle with length = 2x-1 and width = x-6
