Respuesta :
1. A cubic polynomial is a polynomial of degree 3 (the degree of a polynomial is the highest degree among al terms), then the cubic polynomial is [tex]x^3- 1 [/tex].
2. The polynomial [tex]x^3 + 4x^2 +x - 6 [/tex] has root x=1, then [tex]x^3 + 4x^2 +x - 6=(x-1)(x^2+5x+6)=(x-1)(x+2)(x+3) [/tex].
3. If a polynomial equation p(x) = 0 has 3 + 4i as a solution and has real coefficients, then 3-4i is also a solution.
2. The polynomial [tex]x^3 + 4x^2 +x - 6 [/tex] has root x=1, then [tex]x^3 + 4x^2 +x - 6=(x-1)(x^2+5x+6)=(x-1)(x+2)(x+3) [/tex].
3. If a polynomial equation p(x) = 0 has 3 + 4i as a solution and has real coefficients, then 3-4i is also a solution.
Answer:
1. x^3 - 1
2. P(x) = (x + 5)(x + 2)(x)
3. x + 2
4. 3 - 4i
Step-by-step explanation: