You can't know if a general polynomial is in factored form.
It is still called a polynomial.
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
You multiply the factors.
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 is (x+4)(x+5) when factored
The factored form of a polynomial is comprised of factors in which the sum is equal to the coefficient of the second term and the product is equal to th…
It is still called a polynomial.
15j2(j + 2)
If a number cannot be factored it is a prime number.
Yes, you can factor polynomials on a TI-83 calculator using the "Polynomial Root Finder" feature. To access it, go to the "MATH" menu, select "Polynomial," and choose the appropriate degree (e.g., quadratic). Enter the coefficients of the polynomial, and the calculator will provide the roots, which you can use to express the polynomial in factored form. However, it does not directly display the factored form; you'll need to interpret the roots accordingly.
To convert a polynomial from factored form to general form, you need to expand the factored expression by multiplying the factors together. For example, if you have a factored expression like ( (x - 2)(x + 3) ), you would use the distributive property (also known as the FOIL method for binomials) to multiply: ( x^2 + 3x - 2x - 6 ), which simplifies to ( x^2 + x - 6 ). Continue this process for any additional factors until the expression is fully expanded into its general form, which is typically written as a polynomial in standard form.
Completely Factored
A polynomial is in simplest form when it is expressed with no like terms and no factors that can be further simplified. For example, the polynomial ( 3x^2 + 5x - 2 ) is in simplest form because it cannot be factored or combined further. In contrast, ( 6x^2 + 3x - 1 + 2x^2 ) can be simplified to ( 8x^2 + 3x - 1 ), which is its simplest form. To determine if a polynomial is in simplest form, check for like terms and factorability.
It can, so the question does not make sense.
5x(3x+4)