Asked by phyllys
find all the zeros of the following polynomial. Write the polynomial in fraction form. Show all the work.
f(x)= x^4+3x^2-40
f(x)= x^4+3x^2-40
Answers
Answered by
drwls
Let x^2 = y
y^2 +3y -40 = 0
(y+8)(y-5) = 0
y = -8 or 5
x = sqrty = +/- isqrt8 or +/- sqrt5
f(x) = (x - sqrt5)(x + sqrt5)(x^2 +8)
y^2 +3y -40 = 0
(y+8)(y-5) = 0
y = -8 or 5
x = sqrty = +/- isqrt8 or +/- sqrt5
f(x) = (x - sqrt5)(x + sqrt5)(x^2 +8)
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