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Yuri [45]
3 years ago
12

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

Mathematics
2 answers:
Rashid [163]3 years ago
8 0
Yeah mate, but I don’t know if you need to specifically say but it’s actually an Amazon Prime next day delivery polynomial
lesya692 [45]3 years ago
6 0

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} )

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Let's first denote:

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