how do you solve this 7x^3+2x^2+28x+8= 0 its factroring by GCF

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hala718 | High School Teacher | (Level 1) Educator Emeritus

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`7x^3 + 2x^2 +28x + 8 = 0`

`` First we will re-arrange terms.

`(7x^3 + 28x) + (2x^2 + 8) = 0`

`` Now we will facotor each terms.

Factor 7x from the first two terms and 2 from the last two terms.

`7x(x^2 + 4) + 2(x^2+4) = 0`

Now we will factor `(x^2+4)`

`(x^2+4)(7x+2) = 0`

`` Now we will find the roots.

`x1= -2/7 `

`x2= 2i `

`x3= -2i`

`` `==gt x = { -2/7, 2i, -2i}`

 

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