Respuesta :

Aleeenih
Please fallow the steps it will help you

Step1: 4x^3 + 28x^2 + 7x + 49

Step 2: 4x^2(x+7) + 7(x+7)

Step 3: (4x^2+7)(x+7)

Step 4: (x+7)(4x^2+7)
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Hope that helped!
SociometricStar

Answer:

[tex](x+7)(4x^2+7)[/tex]

Step-by-step explanation:

The given expression is [tex]4x^3+28x^2+7x+49[/tex]

We can factor it by grouping method.

So, group the terms as shown below

[tex](4x^3+28x^2)+(7x+49)[/tex]

Take GCF from each group

[tex]4x^2(x+7)+7(x+7)[/tex]

Factored out the common term (x+7)

[tex](x+7)(4x^2+7)[/tex]

Thus, the factored form is [tex](x+7)(4x^2+7)[/tex]

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