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 ->  Polynomials-and-rational-expressions -> 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 937061: 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 josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Possible roots to check are plus and minus of 1, 7, 11, using synthetic division. Look for division remainders of 0.

-1, YES.
1, NO.
-7, NO.
7, YES.
-11, YES.

Three YES's for three rational roots found for third degree polynomial function.

f%28x%29=%28x%2B1%29%28x-7%29%28x%2B11%29