It is still called a polynomial.
You can't know if a general polynomial is in factored form.
It is a quadratic expression and when factored it is: (7x+5)(2x-7)
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)
38
It is called the property of "closure".
If a number cannot be factored it is a prime number.
You can't know if a general polynomial is in factored form.
Completely Factored
The factored form of a polynomial is valuable because it simplifies the process of finding its roots or zeros, making it easier to solve equations. It also provides insights into the polynomial's behavior, such as identifying multiplicities of roots and understanding its graph. Additionally, factored form can facilitate polynomial division and help in applications such as optimization and modeling in various fields.
It can, so the question does not make sense.
It is (x+4)(x+5) when factored
5x(3x+4)
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)).
The GCF is 3d2, leaving 2d2 3d 4
It is a quadratic expression and when factored it is: (7x+5)(2x-7)
15j2(j + 2)
It is 6x(2x+5) when factored