Question 937057

Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers.
{{{ f(x)=x^3+5x^2-73x-77 }}}
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Use Rational Roots Theorem with synthetic divission

...0..|..1....5....-73....-77

..-1..|..1....4....-77....0 (-1 is a root)

f(x)=(x+1)(x^2+4x-77)=(x+1)(x+11)(x-7)
zeros are: -1, -11, 7