Respuesta :
Answer:
[tex]p(x)=(x+5)(x-1)(x+1)[/tex]
Step-by-step explanation:
we are given polynomial as
[tex]p(x)=x^3+5x^2-x-5[/tex]
We can group first two terms and last two terms
[tex]p(x)=(x^3+5x^2)-x-5[/tex]
We can factor out -1 from last two terms
[tex]p(x)=(x^3+5x^2)-1\times (x+5)[/tex]
We can see that x^2 is common in first two terms
so, we can factor out x^2 from first two terms
[tex]p(x)=x^2(x+5)-1\times (x+5)[/tex]
we can see x+5 is in both terms
so, we can factor out x+5
[tex]p(x)=(x+5)(x^2-1)[/tex]
we can also factor it as
[tex]p(x)=(x+5)(x-1)(x+1)[/tex]
Answer:
P(x)=x^2(x+5)-(x+5)
P(x)=(x^2-1) (x+5)
P(x)=(x-1) (x+1) (x+5)
Step-by-step explanation:
