9514 1404 393
Answer:
57. p(x) = x^4 +x^3 -19x^2 +x -20
61. p(x) = x^5 -x^4 -5x^3 -x^2 -6x
Step-by-step explanation:
For real zero "q", the polynomial will have a linear factor (x -q). For complex zeros, the polynomial will need a quadratic factor that has no real zeros. A simple such factor is (x^2 +1).
57. p(x) = (x -(-5))(x -4)(x^2 +1)
p(x) = x^4 +x^3 -19x^2 +x -20
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61. p(x) = (x -0)(x -3)(x -(-2))(x^2 +1)
p(x) = x^5 -x^4 -5x^3 -x^2 -6x
