Factor. 4x^3 + 4x^2 + 7x + 7 ______

Identify Common Factors: Look for common factors in each pair of terms. We can group the terms as (4x^3 + 4x^2) and (7x + 7).Factor First Group: Factor out the common factor from the first group. The common factor in the first group (4x^3 + 4x^2) is 4x^2. So, 4x^3 + 4x^2 = 4x^2(x + 1).Factor Second Group: Factor out the common factor from the second group. The common factor in the second group (7x + 7) is 7. So, 7x + 7 = 7(x + 1).Write Factored Form: Write the factored form of the polynomial. We have factored both groups and found a common binomial factor (x + 1). So, the factored form of the polynomial is (4x^2 + 7)(x + 1).

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Q. Factor.

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4x^3 + 4x^2 + 7x + 7

Identify Common Factors: Look for common factors in each pair of terms. We can group the terms as $(4x^3 + 4x^2)$ and $(7x + 7)$ .
Factor First Group: Factor out the common factor from the first group. $\newline$ The common factor in the first group $4x^3 + 4x^2$ is $4x^2$ . $\newline$ So, $4x^3 + 4x^2 = 4x^2(x + 1)$ .
Factor Second Group: Factor out the common factor from the second group. $\newline$ The common factor in the second group $7x + 7$ is $7$ . $\newline$ So, $7x + 7 = 7(x + 1)$ .
Write Factored Form: Write the factored form of the polynomial. $\newline$ We have factored both groups and found a common binomial factor $(x + 1)$ . $\newline$ So, the factored form of the polynomial is $(4x^2 + 7)(x + 1)$ .