Question

1,0,0,0,3 this polynomial in co _ efficient from can be written in index from using variable 'x' an​

Answer 1

Given :  (1,0,0,0,3) polynomial in coefficient form

To Find : Index form using variable 'x' as.​

Solution:

coefficient form is  (aₙ ,  aₙ₋₁ , ______ a₁ , a₀)  for variable x  

aₙxⁿ + aₙ₋₁xⁿ⁻¹ +______+ a₁x + a₀    

(1,0,0,0,3)  comparing with  (aₙ ,  aₙ₋₁ , ______., a₁ , a₀)

a₀ = 3

a₁ = 0

a₂ = 0

a₃ = 0

a₄ = 1

index form

= 1.x⁴  + 0.x³ + 0.x² + 0.x  + 3

= x⁴ + 3

x⁴ + 3 is the index form of polynomial for (1,0,0,0,3) coefficient form.

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