Question

When the expression 3x4 + 5x - 6x2 + 10x³ is written with terms in

descending order (from highest to lowest), which list represents the
coefficients of the term?
OA. 10, -6, 3,5
OB. 3, -6, 10, 5
C. 3, 5, 6, 10
OD. 3, 10, -6, 5

Answer 1

The expression 3x^4 + 5x - 6x^2 + 10x^3 when arranged in descending order by exponents is 3x^4 + 10x^3 - 6x^2 + 5x. The list of coefficients in descending order is therefore 3, 10, -6, 5.

Step-by-step explanation:

The expression given is 3x^4 + 5x - 6x^2 + 10x^3. When rewritten with terms in descending order by exponents, it becomes 10x^3 - 6x^2 + 3x^4 + 5x.

However, we should place the highest power term first, giving us 3x^4 + 10x^3 - 6x^2 + 5x.

So the coefficients, in descending order, are 3, 10, -6, and 5.