Factor. 16x^3 + 8x^2 + 14x + 7 ______

Identify Common Factors: Look for common factors in the first two terms and the last two terms separately. For the first two terms, 16x^3 and 8x^2, the common factor is 8x^2. For the last two terms, 14x and 7, the common factor is 7.Factor Out Common Factors: Factor out the common factors from the first two terms and the last two terms. 16x^3 + 8x^2 = 8x^2(2x + 1) 14x + 7 = 7(2x + 1)Combine Common Factors: Now, we have two groups: 8x^2(2x + 1) and 7(2x + 1). Since both groups have a common factor of (2x + 1), we can factor this out. The factored form is (2x + 1)(8x^2 + 7).

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16x^3 + 8x^2 + 14x + 7

Identify Common Factors: Look for common factors in the first two terms and the last two terms separately. $\newline$ For the first two terms, $16x^3$ and $8x^2$ , the common factor is $8x^2$ . $\newline$ For the last two terms, $14x$ and $7$ , the common factor is $7$ .
Factor Out Common Factors: Factor out the common factors from the first two terms and the last two terms. $\newline$ $16x^3 + 8x^2 = 8x^2(2x + 1)$ $\newline$ $14x + 7 = 7(2x + 1)$
Combine Common Factors: Now, we have two groups: $8x^2(2x + 1)$ and $7(2x + 1)$ . Since both groups have a common factor of $(2x + 1)$ , we can factor this out. $\newline$ The factored form is $(2x + 1)(8x^2 + 7)$ .