Question

Show that x+5 is a factor of the polynomial x^3 +4x^2 - 17x- 60 and hence factorise the polynomial..​

Answer 1

Step-by-step explanation:

To show x+5 is a factor of x^3+4x^2-17x-60

write x+5 =0

x+5=0

x=-5

substitute the value of x in the polynomial

= (-5)^3+4(-5)^2-17(-5)-60

= -125+4(25)+85-60

= -125+100+85-60

= 185-185

= 0

remainder is 0 since x+5 is a factor of the polynomial x^3+4x^2-17x-60.

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