Question

+3 + 3x2 – 2X-6 is this a prime polynomial

Answer 1

Yeah mate, but I don’t know if you need to specifically say but it’s actually an Amazon Prime next day delivery polynomial

Answer 2

Answer:

see explanation

Step-by-step explanation:

This is not a prime polynomial as it can be factored into polynomials of lower degree.

Given

x³ + 3x² - 2x - 6 ( factor the first/second and third/fourth terms )

= x²(x + 3) - 2(x + 3) ← factor out (x + 3) from each term

= (x + 3)(x² - 2) ←can be reduced further as a difference of squares

= (x + 3)(x - $\sqrt{2}$ )(x + $\sqrt{2}$ )