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A polynomial that can be factored is called?
It is still called a polynomial.
What is the polynomial of 14x2-39x-35?
It is a quadratic expression and when factored it is: (7x+5)(2x-7)
What does factor out a polynomial mean?
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)
The following polynomial can be factored using the techniques of this section x2-36?
38
How do you convert factored form to standard form?
You multiply the factors.
What is the value of having factored form of a polynomial?
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.
What is the factored form of the polynomial x2 plus 9x plus 20?
It is (x+4)(x+5) when factored
Which of the following is the correct factored form of the given equation?
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…
A polynomial that can be factored is called?
It is still called a polynomial.
What is the complete factored form of the following polynomial 15j3 plus 30j2?
15j2(j + 2)
A polynomial that can not be factored is called?
If a number cannot be factored it is a prime number.
How do you convert factored to general form?
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.
What is the polynomial when each of its factors is prime?
Completely Factored
Which polynomial is in simplest form?
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.
Why can't a polynomial be factored?
It can, so the question does not make sense.
How is 15x3 plus 20x factored as a polynomial?
5x(3x+4)
Why does 3n squared plus 9n plus 6 have more than one factor?
The expression (3n^2 + 9n + 6) can be factored into simpler polynomial expressions, indicating that it has more than one factor. A polynomial of degree 2, like this one, generally has two factors when expressed in its factored form. Additionally, since it can be factored using methods such as grouping or the quadratic formula, it reveals multiple combinations of factors. Thus, it showcases the polynomial's ability to be expressed in various multiplicative forms.
