Question

Let f(x) = x^3 + 2x^2 + 3x + 1 and g(x)= 4x-5 Find f(x) x g(x)

Answer 1

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Given :

`f(x) = {x}^(3) + 2 {x}^(2) + 3x + 1`

`g(x) = 4x - 5`

let's solve for f(x) × g(x) :

`( {x}^(3) + 2x {}^(2) + 3x + 1)(4x - 5)`

`4x {}^(4) - 5 {x}^(3) + 8 {x}^(3 ) - 10 {x}^(2) + 12 {x}^(2) - 15x + 4x - 5`

`4 {x}^(4) + 3 {x}^(3) + 2 {x}^(2) - 11x - 5`

therefore, correct choice is : D