8p3 + 1 = (2p + 1)(4p2 - 2p + 1)
It is: (x+1)(x+6) when factored
0
A prime polynomial is a polynomial that cannot be factored into the product of two non-constant polynomials over its coefficient field. In other words, it has no divisors other than itself and the unit (constant) polynomials. For example, in the field of real numbers, (x^2 + 1) is a prime polynomial because it cannot be factored into real linear factors. Conversely, polynomials like (x^2 - 1) are not prime because they can be factored as ((x - 1)(x + 1)).
what kind of polynomial is shown 3x3+x+1
Yes
It is: (x+1)(x+6) when factored
2x2+5x+3 = (2x+3)(x+1) when factored
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Divide all terms by 3:- 2x2+5x-3 = (2x-1)(x+3) when factored
It is (x-1)(x-1) when factored
A fifth degree polynomial.
what kind of polynomial is shown 3x3+x+1
Put it into two binomilals that multipy together to create the polynomial. For example: 5K(squared)-2k-7 is factored out as: (5k+1)(-7K+1)
6x2+5x+1 = (3x+1)(2x+1) when factored
Both - a polynomial expression, if you like.
2x2-3x-5 = (2x-5)(x+1) when factored
x2 + 1 can't be factored in the real numbers. If complex numbers are acceptable, it can be factored as (x + i)(x - i).