SOLUTION: find all the real zeros of P(x), use the quadratic equation if necessary P(x) = x^4-7x^3+14x^2-3x-9

Question 952659: find all the real zeros of P(x), use the quadratic equation if necessary
P(x) = x^4-7x^3+14x^2-3x-9
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
find all the real zeros of P(x), use the quadratic equation if necessary
P(x) = x^4-7x^3+14x^2-3x-9
***
Use Rational Roots Theorem with synthetic division.
...0..|....1.....-7......14......-3......-9....
...1..|....1.....-6......8........5.......-4
...2..|....1.....-5......4........5........1 (real root between 1 & 2) (change of sign of last numbers)
...3..|....1.....-4......2........3........0 (3 is a root)
=======================
...0..|....1.....-4......2........3.
...1..|....1.....-3.....-1........2
...2..|....1.....-2......2........7.
...3..|....1.....-1....-1........0 (3 is a root of mult. 2)
P(x)=(x-3)(x-3)(x^2-x-1)
zeros are: 3, 3, and two real irrational roots
RELATED QUESTIONS
Hi! Find all real zeros of the polynomial. Use the quadratic formula if necessary.... (answered by jim_thompson5910)

Hello! Find all real zeros of the polynomial. Use the quadratic formula if necessary (answered by jim_thompson5910,Alan3354)

Find all the real zeros of p? P(x) = x^5-x^4-6x^3 + 14x^2-11x +... (answered by nyc_function)

find all the zeros, real, and non real, of the polynomial p(x) = x^3 +... (answered by tommyt3rd)

Problem: Find all the real zeros of the polynomial. Use the quadratic formula if... (answered by rmromero)

Hello! A polynomial P is given: P(x) = 2x^3 + 7x^2 + 4x - 4 Find all the real... (answered by jim_thompson5910)

Find all the real zeros of the polynomial. Use the quadratic formula if necessary, as in... (answered by josgarithmetic)

Show that the given value(s) of "c" are zeros of P(x), and find all other zeros of P(x). (answered by josgarithmetic)