Question

Which polynomial is prime?
x3 + 3x2 + 2x + 6
x3 + 3x2 – 2x – 6
10x2 – 4x + 3x + 6
10x2 – 10x + 6x – 6

Answer 1

Option 3 is the prime polynomial , 10x² – 4x + 3x + 6

What is the meaning of a polynomial being prime ?

A prime polynomial means a polynomial that cannot be further factorised by a real coefficient.

It is given to asked which of the polynomial among the given option is prime

The given options are

x³ +3x² +2x+6

x²(x+3) +2(x+3)

x³ +3x² -2x-6

x²(x+3) -2(x+3)

10x² – 4x + 3x + 6

2x(5x +2)+3(x+2)

10x² – 10x + 6x – 6

10x(x-1) +6(x-1)

Therefore Option 3 is the prime polynomial.

To know more about Prime Polynomial

https://brainly.com/question/17489661

#SPJ1