Question

Question 1 of 10Express the polynomial as a product of linear factors.f(x) = 3x³ + 12x² + 3x - 18

Answer 1

Given:

`3x^3+12x^2+3x-18=0`

Find: linear factor.

Step-by-step explanation: put x=1 , the gievn equation statisfy . hence it has one factor is (x-1).

when we divide given equation from (x-1) we get,

`3x^2+15x+18`

so the given equation become

`\begin{gathered} (x-1)(3x^2+15x+18) \\ =3(x-1)(x^2+3x+2x+6) \\ =3(x-1)(x+2)(x+3) \end{gathered}`

Final answer: the required amswer is 3(x-1)(x+2)(x+3).