when simplified and written in standard form, which quadratic function is equivalent to the polynomial…

when simplified and written in standard form, which quadratic function is equivalent to the polynomial shown? 2 + 7c - 4c^2 - 3c + 4\n-4c^2 + 4c + 6\n-7c^2 + 10c + 6\n-4c^2 + 4c + 8\n-7c^2 + 7c + 6

when simplified and written in standard form, which quadratic function is equivalent to the polynomial shown? 2 + 7c - 4c^2 - 3c + 4\n-4c^2 + 4c + 6\n-7c^2 + 10c + 6\n-4c^2 + 4c + 8\n-7c^2 + 7c + 6

Answer

Explanation:

Step1: Combine like - terms

Combine the constant terms and the linear terms: [ \begin{align*} 2 + 7c-4c^{2}-3c + 4&=-4c^{2}+(7c-3c)+(2 + 4)\ \end{align*} ]

Step2: Simplify the combined terms

[ \begin{align*} -4c^{2}+(7c-3c)+(2 + 4)&=-4c^{2}+4c+6 \end{align*} ]

Answer:

A. (-4c^{2}+4c + 6)