Bailey writes the expression g? + 14g + 40 to represent the area of a planned school garden in square feet. What factors can
be used to find the dimensions of her garden?
(9-4)-10)
(g+4)(g+10)
(g+4)(-10)
(9-4)(g+10)

Respuesta :

Answer:

(g+4)(g+10)

Step-by-step explanation:

plug 5 into both g's.

15 by 9 feet

The factors that can be used to find the dimension of her garden is (g+4)(g+10)

Data;

  • Area = g^2 + 14g + 40

Factorization of Quadratic Equation

To solve this problem, we have to factorize the area of the planned school garden in order to know the dimensions of the length and width of the garden.

[tex]A = g^2 + 14g + 40[/tex]

Let use find the factors for this equation

In a given quadratic equation

[tex]y = ax^2 + bx + c[/tex], we have to find two numbers that when multiplied will give us c and when added will give us b.

In this situation, we would need two numbers that when added would give us 14 and when multiplied would give us 40.

This can easily be found in 4 and 10.

The factors of this equation are

[tex](g+4)(g+10)[/tex]

The factors that can be used to find the dimension of her garden is (g+4)(g+10)

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