Question

the complete factorised form of given polynomial f(x) = x^3+12x+41x+30 is​

Answer 1

Answer:

f(x) = (x+1) (x+6) (x+5)

Step-by-step explanation:

f(x) = x^3 + 12x^2 + 41x + 30

f(-1) = 0

Therefore (x+1) is a factor

Using long division,

f(x) = (x+1) (x^2 + 11x +30)

f(x) = (x+1) (x+6) (x+5) --> Fully factorised form