Alll the real zeros of the given poynomial are integers Find
     Alll the real zeros of the given poynomial are integers. Find the zeros. (Enter your answers as a comma-separated list. Enter al answers including repetitions.) Px) +12x2+x-22 Write the polynomial in factored form Need Help? s Notes O Ask Your All the real zeros of the given polynomial are integers. Find the zeros. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) Px)12x3+31x2 12x 32 Wnite the polynomial in factored form. P(x) Need Help? Wwtch n 10. My Notes Ask Your Find all rational zeros of the polynomial. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) P)-4-452+8 Write the polynomial in factored form. Need Help? Waseh 11. 0-2 points SAig Trig4 3.4.030 My Notes Ask Your Find all rational zeros of the polynomial. (Enter your answers as a comma-separated list. Enter all answers including repetitions.) Px)-6-73-13x2+4x4 Write the polynomial in factored form.  
  
  Solution
1) P(x) = x^3 + 12x^2 + 9x – 22
P(x) = 0 =====> (x - 1)(x + 11)(x + 2) = 0
x = 1, -11, -2
P(x) = (x - 1)(x + 11)(x + 2)
2) P(x) = x^4 + 12x^3 + 31x^2 - 12x – 32
P(x) = 0 =====> (x + 1)(x - 1)(x + 4)(x + 8) = 0
x = -1, 1, -4, -8
P(x) = (x + 1)(x - 1)(x + 4)(x + 8)
3) P(x) = 4x^4 - 45x^2 + 81
P(x) = 0 =====> (x - 3)(2x - 3)(2x + 3)(x + 3) = 0
x = 3, 3/2, -3/2, -3
P(x) = (x - 3)(2x - 3)(2x + 3)(x + 3)
4) P(x) = 6x^4 - 7x^3 - 13x^2 + 4x + 4
P(x) = 0 =====> (x - 2)(x + 1)(2x + 1)(5x - 3) = 0
x = 2, -1, -1/2, 3/5
P(x) = (x - 2)(x + 1)(2x + 1)(5x - 3)

