Pick the expression that matches this description: A trinomial with a leading coefficient of 3 and a constant term of -5 Choose 1 answer: (A) -5m^(2)+4m+3 (B) 3m^(2)-5 (C) 3m^(2)+m-5 (D) 3m^(2)-5m+1

Question

Pick the expression that matches this description: A trinomial with a leading coefficient of 3 and a constant term of -5 Choose 1 answer: (A)  -5m^(2)+4m+3 (B)  3m^(2)-5 (C)  3m^(2)+m-5 (D)  3m^(2)-5m+1

Bytelearn · Accepted Answer

Trinomial with Leading Coefficient: We are looking for a trinomial, which means the expression should have three terms. It should also have a leading coefficient of 3 and a constant term of -5.Evaluation of Option (A): Let's evaluate option (A): -5m^(2)+4m+3. This is a trinomial, but the leading coefficient is -5, not 3, and the constant term is +3, not -5.Evaluation of Option (B): Let's evaluate option (B): 3m^(2)-5. This is not a trinomial because it only has two terms. Therefore, it does not match the description.Evaluation of Option (C): Let's evaluate option (C): 3m^(2)+m-5. This is a trinomial, the leading coefficient is 3, and the constant term is -5. This matches the description.Evaluation of Option (D): Let's evaluate option (D): 3m^(2)-5m+1. This is a trinomial, the leading coefficient is 3, but the constant term is +1, not -5. Therefore, it does not match the description.

Pick the expression that matches this description: $\newline$ A trinomial with a leading coefficient of $3$ and a constant term of $-5$ $\newline$ Choose $1$ answer: $\newline$ (A) $-5m^{2}+4m+3$ $\newline$ (B) $3m^{2}-5$ $\newline$ (C) $3m^{2}+m-5$ $\newline$ (D) $3m^{2}-5m+1$

Full solution

More problems from Multiply a polynomial by a monomial

Related topics