Question

Find the value of a and b so that the polynomials p(x) = x^3 - 3x^2 - ax + b has (x + 1 ), and (x - 5 ) are factors.
i want simple answer with full solution and i don't want any spamming plz.

Answer 1

I hope it will help you

Answer 2

if (x+1) is a factor of p(x)
x=-1
(-1)^3-3(-1)^2-a(-1)+b=0
-1-3+a+b=0
a+b=4
if (x-5) is a factor of p(x)
x=5
(5)^3-3(5)^2-a(5)+b=0
125-75-5a+b=0
50-5a+b=0
-5a+b=-50
solve 1&2 equations
a+b=4
-5a+b=-50
_________
6a=54
a=54/6
a=9
a+b=4
9+b=4
b=4-9
b=-5
a=9,b=-5
hope it helps you.....