Given
[tex]f(x)=3x^3+15x^2+6x-24[/tex]
To find the factor.
Explanation:
It is given that,
[tex]f(x)=3x^3+15x^2+6x-24[/tex]
That implies,
[tex]\begin{gathered} For\text{ }x=-4, \\ f(-4)=3(-4)^3+15(-4)^2+6(-4)-24 \\ =3(-64)+15(16)-24-24 \\ =-192+240-48 \\ =48-48 \\ =0 \end{gathered}[/tex]
Hence, the factor is x+4.
