Verified Answer :

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:

\((x+7)(4x^2+7)\)

Step-by-step explanation:

The given expression is \(4x^3+28x^2+7x+49\)

We can factor it by grouping method.

So, group the terms as shown below

\((4x^3+28x^2)+(7x+49)\)

Take GCF from each group

\(4x^2(x+7)+7(x+7)\)

Factored out the common term (x+7)

\((x+7)(4x^2+7)\)

Thus, the factored form is \((x+7)(4x^2+7)\)

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