Question

write the coefficient of x^3 in each of the following.1) x^3+x+1​

Answer 1

Any polynomial in n-th degree is

(a₀ xⁿ + a₁ xⁿ⁻¹ + ... + aₙ),

where a₀, a₁, ..., aₙ are called coefficients of the respective terms.

The given polynomial is

x³ + x + 1

= (1) (x³) + (1) (x) + 1

Hence, the coefficient of x³ is 1

Answer 2

Coefficient of x is 1 .......

value is not given before x³ so we will assume the value x³ is 1