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Pick the expression that matches this description:
A monomial of the 
2^("nd ") degree with a leading coefficient of 3
Choose 1 answer:
(A) 
3n^(2)
(B) 
2n^(3)
(C) 
3n^(2)-1
(D) 
3n-n^(2)

Pick the expression that matches this description:\newlineA monomial of the 2nd  2^{\text {nd }} degree with a leading coefficient of 33\newlineChoose 11 answer:\newline(A) 3n2 3 n^{2} \newline(B) 2n3 2 n^{3} \newline(C) 3n21 3 n^{2}-1 \newline(D) 3nn2 3 n-n^{2}

Full solution

Q. Pick the expression that matches this description:\newlineA monomial of the 2nd  2^{\text {nd }} degree with a leading coefficient of 33\newlineChoose 11 answer:\newline(A) 3n2 3 n^{2} \newline(B) 2n3 2 n^{3} \newline(C) 3n21 3 n^{2}-1 \newline(D) 3nn2 3 n-n^{2}
  1. Definition of a monomial: A monomial is a single term algebraic expression. The 22nd degree indicates that the variable should have an exponent of 22. The leading coefficient is the number in front of the variable with the highest power, which should be 33 in this case.
  2. Analysis of option (A): Option (A) 3n23n^2 is a monomial because it has a single term. It is of the 22nd degree because the exponent of nn is 22. The leading coefficient is 33. This matches the description.
  3. Analysis of option (B): Option (B) 2n32n^3 is a monomial, but it is of the 33rd degree because the exponent of nn is 33, and the leading coefficient is 22, not 33. This does not match the description.
  4. Analysis of option (C): Option (C) 3n213n^2-1 is not a monomial because it consists of two terms, 3n23n^2 and 1-1. Even though the first term has the correct degree and leading coefficient, the presence of the second term disqualifies it.
  5. Analysis of option (D): Option (D) 3nn23n-n^2 is not a monomial because it has two terms, 3n3n and n2-n^2. Additionally, the term with the highest degree has a coefficient of 1-1, not 33. This does not match the description.

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