Question

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

Answer 1

The simplified and standard form of the considered polynomial is -4c^2 -4c + 6

What is standard form of a polynomial?

Suppose the considered polynomial is of only one variable.

Then, the standard form of that polynomial is the one in which all the terms with higher exponents are written on left side to those which have lower exponents.

The given polynomial is:

$2 + 7c - 4c^2 - 3c + 4$

Simplifying it gives:

$2 + 7c - 4c^2 - 3c + 4 = 2+4 + (7-3)c - 4c^2 = 6 -4c -4c^2$

Writing it in the order of increasing to decreasing powers:

$6 -4c -4c^2 = -4c^2 -4c + 6$

Thus, the simplified and standard form of the considered polynomial is $-4c^2 -4c + 6$

Learn more about standard form of a polynomial here:

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