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In which expression is the coefficient of the n term -1 ?
(A) 3n^(2)-4n-1
(B) -n^(2)+5n+4
(C) -2n^(2)-n+5
(D) 4n^(2)+n-5

In which expression is the coefficient of the $\mathrm{n}$ term $-1$ ? $\newline$ (A) $3 n^{2}-4 n-1$ $\newline$ (B) $-n^{2}+5 n+4$ $\newline$ (C) $-2 n^{2}-n+5$ $\newline$ (D) $4 n^{2}+n-5$

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Pascal's triangle and the Binomial Theorem

Full solution

Q. In which expression is the coefficient of the

\mathrm{n}

term

-1

?

\newline

(A)

3 n^{2}-4 n-1

\newline

(B)

-n^{2}+5 n+4

\newline

(C)

-2 n^{2}-n+5

\newline

(D)

4 n^{2}+n-5

Identify Coefficient $n$ Term Option A: Identify the coefficient of the $n$ term in option (A) $3n^{2}-4n-1$ . $\newline$ The coefficient of the $n$ term in this expression is $-4$ .
Check Coefficient $n$ Term Option A: Check if the coefficient of the $n$ term in option (A) is $-1$ . The coefficient of the $n$ term in option (A) is $-4$ , not $-1$ .
Identify Coefficient $n$ Term Option B: Identify the coefficient of the $n$ term in option (B) $-n^{2}+5n+4$ . $\newline$ The coefficient of the $n$ term in this expression is $5$ .
Check Coefficient $n$ Term Option B: Check if the coefficient of the $n$ term in option (B) is $-1$ . The coefficient of the $n$ term in option (B) is $5$ , not $-1$ .
Identify Coefficient $n$ Term Option C: Identify the coefficient of the $n$ term in option (C) $-2n^{2}-n+5$ . The coefficient of the $n$ term in this expression is $-1$ .
Check Coefficient $n$ Term Option C: Check if the coefficient of the $n$ term in option (C) is $-1$ . The coefficient of the $n$ term in option (C) is indeed $-1$ .
Skip Checking Option D: Since we have found the expression with the coefficient of the $n$ term as $-1$ , there is no need to check option $(D)$ .

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