yes
A polynomial that can't be separated into smaller factors.
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)).
Any polynomial in which there are at least two co-prime coefficients will have 1 as the greatest monomial factor.
To determine if the polynomial (21x^2 - 43x + 20) is prime, we need to check if it can be factored into the product of two non-trivial polynomials with real coefficients. By applying the discriminant method, we find that the discriminant (b^2 - 4ac) is positive, indicating that it has real roots and can be factored. Therefore, (21x^2 - 43x + 20) is not a prime polynomial.
It is a polynomial (monomial). It is a polynomial (monomial). It is a polynomial (monomial). It is a polynomial (monomial).
irreducible polynomial prime...i know its the same as irreducible but on mymathlab you would select prime
Completely Factored
no one will ever know ):<
prime
A polynomial that can't be separated into smaller factors.
prime
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)).
If a number cannot be factored it is a prime number.
Any polynomial in which there are at least two co-prime coefficients will have 1 as the greatest monomial factor.
It is: (x+1)(x+4) none of which are prime numbers
Factor
No. It factors to (11x - 13)(2x - 3)