Factor by grouping x cubed plus3x squared plus4x plus12Solut

Factor by grouping.

x cubed plus+3x squared plus+4x plus+12

x³ + 3x² + 4x + 12

= x²(x+3) + 4(x+3)

=(x² + 4)(x+3)

=[x² - (-2)²](x+3)

=(x-2i)(x+2i)(x+3) , where i² = -1 .

Factor by grouping. x cubed plus+3x squared plus+4x plus+12Solutionx3 + 3x2 + 4x + 12 = x2(x+3) + 4(x+3) =(x2 + 4)(x+3) =[x2 - (-2)2](x+3) =(x-2i)(x+2i)(x+3) ,

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