Which polynomial is prime? x3 + 3x2 – 2x – 6 x3 – 2x2 + 3x – 6 4x4 + 4x3 – 2x – 2 2x4 + x3 – x + 2
Asked by maham237 @ in Mathematics viewed by 404 People
Answered by maham237 @
A prime polynomial is a polynomial that can't be factored.
In order to check which polynomial is prime, we need to check which polynomials could be factored.
x^3 + 3x^2 – 2x – 6 can be factored as (x+3)(x^2-2)
x^3 – 2x^2 + 3x – 6 can be factored as (x-2)(x^2+3)
4x^4 + 4x^3 – 2x – 2 can be factored as 2(x+1)(2x^3-1)
2x^4 + x^3 – x + 2 can't be factored.
Therefore, 2x^4 + x^3 – x + 2 is a prime polynomial.
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