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AP EAMCET20226 Jul 2022Morning ShiftMathematicsApplication of DerivativesActual

Let a_n, a_ n-1 , , a₁, a₀ C and f(x)=a_n x^n+a_ n-1 x^ n-1 + +a₁ x+a₀ is a polynomial. If the polynomial f(x) is monic then

Options

  1. Aa_n 0
  2. Ba_n=1
  3. Ca_n>0
  4. Da _ n < 0

Correct answer

B. a_n=1

Step-by-step solution

We have f ( x )= a _ n x ^ n + a _ n -1 ^ n -1 + . .+ a ₁ a ₀ here polynomial f(x) is a monic polynomial should be 1 a _ n =1

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