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< Previous1Next >Factoring Polynomials: Mastery Test1Select the correct answer.What is the completely factored form of this polynomial?x3 + 3x2 - 6x-18A. (x-2)(x - 3)(x + 3)OB. (x2 - 6/x+3)C. (x2 + 3)(x-6)OD. (x+6)(x - 1)(x + 3)ResetNext

Respuesta :

Solution

[tex]x^3+3x^2-6x-18[/tex]

We can do the following:

[tex]x^2(x+3)-6(x+3)=(x+3)(x^2-6)[/tex]

Then the correct answer would be:

[tex]B\mathrm{}(x^2-6)(x+3)[/tex]

For the second case we have the following:

[tex]9x^2-64y^2[/tex]

We can do this:

[tex](3x-8y)(3x+8y)[/tex]