SOLUTION: Find the zeros of the polynominal factor into first degree factors and graph the polynominal equation. y = x^3 + 4x^2 - x - 4

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find the zeros of the polynominal factor into first degree factors and graph the polynominal equation. y = x^3 + 4x^2 - x - 4       Log On


   

Question 155829: Find the zeros of the polynominal factor into first degree factors and graph the polynominal equation. y = x^3 + 4x^2 - x - 4
Answer by oscargut(2103) About Me  (Show Source):
You can put this solution on YOUR website!
x^3 + 4x^2 - x - 4=0 has a root 1
then
1 4 -1 -4
1 1 5 4
1 5 4 0
(click on show source code to understand it)
Q(x)=x^2+5x+4=0
then
x+=+%28-5+%2B-+sqrt%28+5%5E2-4%2A%281%29%2A%284%29+%29%29%2F%282%2A%281%29%29+
=x+=+%28-5+%2B-+3+%29%2F2+
so roots of Q(x) are -4 and -1
then
roots of P(x)=x^3 + 4x^2 - x - 4
are 1,-1 and -4
P(x)=(x-1)(x+1)(x+4)
+graph%28+300%2C+200%2C+-8%2C+5%2C+-20%2C+20%2C+x%5E3+%2B+4x%5E2+-+x+-+4%29+