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  1. Which expression is a cubic polynomial?

3x^2 - 1

x^3 - 1

x^2 - x + 3

3x^2 - x + 3


2.Which of the following binomials is a factor of x^3 + 4x^2 +x - 6?

  1. If a polynomial equation p(x) = 0 has 3 + 4i as a solution, what other solutions must it have?

Verified Answer :

frika
  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 \(x^3- 1\).

    2. The polynomial \(x^3 + 4x^2 +x - 6\) has root x=1, then \(x^3 + 4x^2 +x - 6=(x-1)(x^2+5x+6)=(x-1)(x+2)(x+3)\).

    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:


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