Answer :
To arrange the polynomial
$$
4x^2 - x + 8x^6 + 3 + 2x^{10}
$$
in descending order, we first identify the degree (exponent) of each term:
1. The term $2x^{10}$ has an exponent of $10$.
2. The term $8x^6$ has an exponent of $6$.
3. The term $4x^2$ has an exponent of $2$.
4. The term $-x$ has an exponent of $1$.
5. The constant $3$ has an exponent of $0$.
Next, we sort the terms from the highest degree to the lowest degree. The order is:
1. $2x^{10}$ (degree $10$)
2. $8x^6$ (degree $6$)
3. $4x^2$ (degree $2$)
4. $-x$ (degree $1$)
5. $3$ (degree $0$)
Thus, the polynomial in descending order is:
$$
2x^{10} + 8x^6 + 4x^2 - x + 3.
$$
Comparing with the given options, this expression corresponds to Option B.
$$
4x^2 - x + 8x^6 + 3 + 2x^{10}
$$
in descending order, we first identify the degree (exponent) of each term:
1. The term $2x^{10}$ has an exponent of $10$.
2. The term $8x^6$ has an exponent of $6$.
3. The term $4x^2$ has an exponent of $2$.
4. The term $-x$ has an exponent of $1$.
5. The constant $3$ has an exponent of $0$.
Next, we sort the terms from the highest degree to the lowest degree. The order is:
1. $2x^{10}$ (degree $10$)
2. $8x^6$ (degree $6$)
3. $4x^2$ (degree $2$)
4. $-x$ (degree $1$)
5. $3$ (degree $0$)
Thus, the polynomial in descending order is:
$$
2x^{10} + 8x^6 + 4x^2 - x + 3.
$$
Comparing with the given options, this expression corresponds to Option B.
