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

Identify Common Factors: Look for common factors in each pair of terms. We can pair the terms as (16t^3 + 8t^2) and (14t + 7) to look for common factors.Factor Out First Pair: Factor out the common factor from the first pair of terms. The common factor in 16t^3 and 8t^2 is 8t^2. 16t^3 + 8t^2 = 8t^2(2t + 1)Factor Out Second Pair: Factor out the common factor from the second pair of terms. The common factor in 14t and 7 is 7. 14t + 7 = 7(2t + 1)Write Down Findings: Write down what we have found so far. We have: 16t^3 + 8t^2 = 8t^2(2t + 1) 14t + 7 = 7(2t + 1) Now we can see that (2t + 1) is a common factor.Factor Out Common Factor: Factor out the common factor (2t + 1) from the entire expression. The polynomial can be written as: 16t^3 + 8t^2 + 14t + 7 = 8t^2(2t + 1) + 7(2t + 1) = (8t^2 + 7)(2t + 1)

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Q. Factor.

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

Identify Common Factors: Look for common factors in each pair of terms. $\newline$ We can pair the terms as $16t^3 + 8t^2$ and $14t + 7$ to look for common factors.
Factor Out First Pair: Factor out the common factor from the first pair of terms. $\newline$ The common factor in $16t^3$ and $8t^2$ is $8t^2$ . $\newline$ $16t^3 + 8t^2 = 8t^2(2t + 1)$
Factor Out Second Pair: Factor out the common factor from the second pair of terms. $\newline$ The common factor in $14t$ and $7$ is $7$ . $\newline$ $14t + 7 = 7(2t + 1)$
Write Down Findings: Write down what we have found so far. $\newline$ We have: $\newline$ $16t^3 + 8t^2 = 8t^2(2t + 1)$ $\newline$ $14t + 7 = 7(2t + 1)$ $\newline$ Now we can see that $(2t + 1)$ is a common factor.
Factor Out Common Factor: Factor out the common factor $(2t + 1)$ from the entire expression. $\newline$ The polynomial can be written as: $\newline$ $16t^3 + 8t^2 + 14t + 7 = 8t^2(2t + 1) + 7(2t + 1)$ $\newline$ $= (8t^2 + 7)(2t + 1)$