By using Factor T

Formula used.

If f(x) is a polynomial with degree n

Then (x – a) is a factor of f(x) if f(a) = 0

1^st we find out zero of polynomial g(x)

x + 5 = 0

x = – 5

if f(x) is 2x³ + 9x² – 11x – 30

then putting x = – 5 ;

f( – 5) = 2( – 5)³ + 9( – 5)² – 11( – 5) – 30

= 2 × ( – 125) + 9 × (25) – 11x( – 5) – 30

= – 250 + 225 + 55 – 30

= 0

Conclusion.

∴ g(x) is a factor of f(x)