A dentist's office and parking lot are on a rectangular piece of land. The area (in square meters) of the land is represented by x^2+x-30. Write a binomial that represents the width of the land.

The trinomial is factored to (x+6)(x-5) since (x+6)(x-5) = x^2 + 6x -5x -30 = x^2+x-30. These factors represent the length and width of the rectangle.

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shristiparmar1221 shristiparmar1221 · Answer 2 · 2021-12-07T06:45:24+01:00

This question is based on the factorization. Therefore, the factors (x+6) or (x-5) represents the width of the rectangular piece of land.

Given:

A dentist's office and parking lot are on a rectangular piece of land. The area (in square meters) of the land is represented by [tex]x^{2} +x-30[/tex].

We need to determined the binomial that represents the width of the land.

Now factorize the equation [tex]x^{2} +x-30[/tex] . And solve it further,

[tex]x^{2} +x-30=0\\\\x^{2} +6x-5x-30=0\\\\x(x+6)-5(x+6)=0\\\\(x-5)(x+6)=0[/tex]

We get the factors of the equation that is, (x+6) and (x-5).

The factors (x+6) and (x-5) represent the length and width of the given equation.

Therefore, the factors (x+6) or (x-5) represents the width of the rectangular piece of land.

For more details, please refer this link:

https://brainly.com/question/1863222