How do you write the polynomial 3x2−8x−12x5−5x3+2x4−6 in standard form?

1 Answer
Shell
Dec 4, 2016

−12x5+2x4−5x3+3x2−8x−6

Explanation:

I am assuming the 3 in the −5x term should be an exponent.

3x2−8x−12x5−5x3+2x4−6

To write the polynomial in standard form, write it in order of decreasing exponents. I have highlighted the exponents in red.

−12x5+2x4−5x3+3x2−8x−6

Note that the 8x term has an exponent of 1 (8x1), but the 1 is not typically written.

And, even the −6 term has an exponent. Recall that x0=1, so −6=−6x0. So the constant term −6 also follows the rule of writing the terms in order of decreasing exponents.

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