Factor. 2y^3 – y^2 + 16y – 8 ______

Step 1: Find common factors: Look for common factors in each pair of terms. We will first look at the terms 2y^3 and -y^2 to see if there is a common factor. We can factor out y^2 from both terms. Calculation: 2y^3 – y^2 = y^2(2y - 1)Step 2: Factor out common factors: Look for common factors in the remaining pair of terms. Now we will look at the terms 16y and -8 to see if there is a common factor. We can factor out 8 from both terms. Calculation: 16y – 8 = 8(2y - 1)Step 3: Combine factored pairs: Combine the factored pairs by factoring out the common binomial factor. We notice that both factored pairs from Step 1 and Step 2 have a common binomial factor (2y - 1). We can factor this out to combine the two pairs. Calculation: (y^2 + 8)(2y - 1)

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Factor. $\newline$ $2y^3 - y^2 + 16y - 8$ $\newline$ ______ $\newline$

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Q. Factor.

\newline

2y^3 - y^2 + 16y - 8

\newline

______

\newline

Step $1$ : Find common factors: Look for common factors in each pair of terms. $\newline$ We will first look at the terms $2y^3$ and $-y^2$ to see if there is a common factor. We can factor out $y^2$ from both terms. $\newline$ Calculation: $2y^3 - y^2 = y^2(2y - 1)$
Step $2$ : Factor out common factors: Look for common factors in the remaining pair of terms. $\newline$ Now we will look at the terms $16y$ and $-8$ to see if there is a common factor. We can factor out $8$ from both terms. $\newline$ Calculation: $16y - 8 = 8(2y - 1)$
Step $3$ : Combine factored pairs: Combine the factored pairs by factoring out the common binomial factor. $\newline$ We notice that both factored pairs from Step $1$ and Step $2$ have a common binomial factor $(2y - 1)$ . We can factor this out to combine the two pairs. $\newline$ Calculation: $(y^2 + 8)(2y - 1)$