Question

find the value of a and b so that polynominal p(x)=x^3-3*x^2-ax+b has (x+1) and (x-5) as factors

Answer 1

Answer:

x=-1 and x=5 are roots if the equation.

For x=-1,

-1-3+a+b=0

a+b=4

For x=5

125-75-5a+b=0

5a-b=50

Solving equations for a and b,

a=9

b=-5

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