+3 + 3x2 – 2X-6
is this a prime polynomial
2 answers:
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:
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 -
)(x +
)
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