SOLUTION: Find all the real zeros of the polynomial. Use the quadratic formula if necessary, as in Example 3(a). (Enter your answers as a comma-separated list. Enter all answers including re

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Find all the real zeros of the polynomial. Use the quadratic formula if necessary, as in Example 3(a). (Enter your answers as a comma-separated list. Enter all answers including re      Log On


   



Question 1200927: Find all the real zeros of the polynomial. Use the quadratic formula if necessary, as in Example 3(a). (Enter your answers as a comma-separated list. Enter all answers including repetitions.)
P(x) = x^4 − 8x^3 + 8x^2 + 23x + 6
x =

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Lead term coefficient 1
Constant term coefficient +6
Some negative terms in the expression
Rational Roots Theorem tells that the possible roots to check are from plus and minus of 1, 2, 3, 6.

Synthetic Division can be used to start and check. You should find with no trouble that the roots include -1 and +6.