SOLUTION: Can you help me find all the zeros of the polynomial P(x)= X^3+x^2-7x-3?

Question 446760: Can you help me find all the zeros of the polynomial P(x)= X^3+x^2-7x-3?
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Can you help me find all the zeros of the polynomial P(x)= X^3+x^2-7x-3?
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Using a graphing calculator, you will find one of the roots=-3
Next, divide (x+3) into X^3+x^2-7x-3 by long division or synthetic division.
You will then get a quotient=x^2-2x-1
solving by quadratic formula:
a=1, b=-2, c=-1
x=[-(-2)+-sqrt((-2)^2-4*1*(-1)]/2*1
x=(2+-√8)/2
x=(2+-2√2)/2
x=1+-√2
x=1+√2
or
x=1-√2
ans:
zeros are -3,1+√2 and 1-√2
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