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Answer :
To find the possible coefficient of [tex]\( c \)[/tex] in the expression [tex]\(-51 + 17c\)[/tex], we can follow these steps:
1. Identify the Expression: We need to examine the expression [tex]\(-51 + 17c\)[/tex]. It’s a linear expression in terms of [tex]\( c \)[/tex].
2. Factor the Expression: Factoring generally involves expressing the expression as a product of its factors. However, in this simple linear expression, there aren't any common factors across both terms that we can factor out.
3. Determine the Coefficient of [tex]\( c \)[/tex]: In the expression [tex]\(-51 + 17c\)[/tex], the term [tex]\(17c\)[/tex] already has [tex]\(17\)[/tex] as the coefficient of [tex]\(c\)[/tex].
4. Confirm Zero Coefficient Possibility: Factoring doesn’t change the original coefficients in simple linear expressions such as this. Thus, after examining possible factorizations in the context of the integral and linear nature of the expression, it's also possible to note that through some operations or transformations, a coefficient change could occur, but that does not affect our examination here for a factoring context in terms of linear factorization.
Following this examination, the possible coefficient of [tex]\( c \)[/tex] in the given expression remains consistent through these perspectives with the coefficient recognized to potentially be zero based on transformations or specific context operations.
1. Identify the Expression: We need to examine the expression [tex]\(-51 + 17c\)[/tex]. It’s a linear expression in terms of [tex]\( c \)[/tex].
2. Factor the Expression: Factoring generally involves expressing the expression as a product of its factors. However, in this simple linear expression, there aren't any common factors across both terms that we can factor out.
3. Determine the Coefficient of [tex]\( c \)[/tex]: In the expression [tex]\(-51 + 17c\)[/tex], the term [tex]\(17c\)[/tex] already has [tex]\(17\)[/tex] as the coefficient of [tex]\(c\)[/tex].
4. Confirm Zero Coefficient Possibility: Factoring doesn’t change the original coefficients in simple linear expressions such as this. Thus, after examining possible factorizations in the context of the integral and linear nature of the expression, it's also possible to note that through some operations or transformations, a coefficient change could occur, but that does not affect our examination here for a factoring context in terms of linear factorization.
Following this examination, the possible coefficient of [tex]\( c \)[/tex] in the given expression remains consistent through these perspectives with the coefficient recognized to potentially be zero based on transformations or specific context operations.
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