SOLUTION: 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 }}}

Algebra ->  Rational-functions -> SOLUTION: 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 }}}      Log On


   

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%28x%29=x%5E3%2B5x%5E2-73x-77+
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!

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%28x%29=x%5E3%2B5x%5E2-73x-77+
***
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