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 - 4c² - 3c + 4\n-4c² + 4c + 6\n-7c² + 10c + 6\n-4c² + 4c + 8\n-7c² + 7c + 6

when simplified and written in standard form, which quadratic function is equivalent to the polynomial shown? 2 + 7c - 4c² - 3c + 4\n-4c² + 4c + 6\n-7c² + 10c + 6\n-4c² + 4c + 8\n-7c² + 7c + 6

Answer

Explanation:

Step1: Combine like - terms of the given polynomial

Combine the constant terms: $2 + 4=6$. Combine the linear - terms: $7c-3c = 4c$. The quadratic term remains $-4c^{2}$.

Step2: Write the polynomial in standard form

The standard form of a quadratic function is $ax^{2}+bx + c$. So the simplified polynomial is $-4c^{2}+4c + 6$.

Answer:

A. $-4c^{2}+4c + 6$