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which of the following are factors of 6x^2 + 30x - 36? Select all that apply

1. x-1
2. x+2
3. 2
4. 3
5. x+6
6. x-6
7. x-2

Respuesta :

Answer:\\

the correct answers are

x-1

2

3

x+6

Answer with Step-by-step explanation:

we have to calculate the factors of the polynomial:

  [tex]6x^2 + 30x - 36[/tex]

This could also be written as:

[tex]6(x^2+5x-6)\\\\=6(x^2+6x-x-6)\\\\=6(x(x+6)-1(x+6))\\\\=2\times 3\times (x-1)(x+6)[/tex]

Hence, the factors of the polynomial   [tex]6x^2 + 30x - 36[/tex] are:

x-1,x+6,2,3

Hence, the correct options are:

1. x-1

3. 2

4. 3

5. x+6

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