Question

The polynomial 8x+9+3x6−4x3, when rewritten in descending order, using a coefficient or a constant of 0 for any missing terms is _[blank 1]_ + _[blank 2]_ + _[blank 3]_ + _[blank 4]_ + _[blank 5]_ + _[blank 6]_ + _[blank 7]_.
Match each blank that appears in the previous sentence with the term that correctly fills in that blank.

Answer 1

When we sort the terms in descending order, we get 3x^6 - 4x^3 + 8x + 9

The exponents decrease (from 6 to 3 to 1 to 0) with the largest exponent term on the left side and the smallest on the right side.

Fill in the missing terms to get 3x^6 + 0x^5 + 0x^4 + (-4x^3) + 0x^2 + 8x^1 + 9x^0

So the sequence of coefficients are 3, 0, 0, -4, 0, 8, 9