Question

what is the co-efficient form of the polynomial x⁴+3x²-1?​

Answer 1

Given : x⁴ + 3x²-1​  

To Find : coefficient form of polynomial x⁴ + 3x²-1​

Solution:

coefficient form is  (aₙ ,  aₙ₋₁ , ...................., a₁ , a₀)  for

aₙxⁿ + aₙ₋₁xⁿ⁻¹ +....................+ a₁x + a₀

x⁴ + 3x²-1​

hence n = 4

=> a₄x⁴ + a₃x³ +.a₂x² + a₁x  + a₀

comparing with  x⁴ + 3x²-1​

a₄ =  1

a₃ = 0

a₂ = 3

a₁ = 0

a₀ = -1

1.x⁴ + 0.x³ +.3.x² + 0.x  + (-1)

1.x⁴ + 0.x³ +.3.x² + 0.x  -1

form of  x⁴ + 3x²-1​  is

1.x⁴ + 0.x³ +.3.x² + 0.x  -1

The coefficient form of the x⁴ + 3x²-1​ is (1, 0,  3, 0, -1 )

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