When simplified and written in standard form, which quadratic function is equivalent to the polynomial shown?

2 + 7c – 4c2 – 3c + 4

–4c2 + 4c + 6
–7c2 + 10c + 6
–4c2 + 4c + 8
–7c2 + 7c + 6

Respuesta :

The answer is -4c2 + 4c + 6
I got this answer because the 4c2 (4c squared) can’t be added or subtracted by anything so it will stay 4c2. The 7c is subtracted by the 3c which equals 4c. Then you add 2 and 4 together and you get 6. Hope this helps!!:))))))

The equation (2+7c–4c²–3c+4) is equal to the quadratic equation -4c²+4c+6.

What are Like terms?

Like terms are those terms that are having the same variables, also the variables are of the same order as well.

for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.

The simplification of the quadratic equation can be done by rearranging the like terms together, and then solving the like terms, as shown below,

[tex]2 + 7c - 4c^2 - 3c + 4\\\\\text{Rearranging the terms}\\\\= -4c^2+7c-3c+4+2\\\\= -4c^2+4c+6[/tex]

Hence, the equation (2+7c–4c²–3c+4) is equal to the quadratic equation -4c²+4c+6.

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