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How do you factor a four term polynomial 8xtothe3rdplus12xtothe2nd-44x-24?
Wiki User
∙ 8y ago
8x3 + 12x2 - 44x - 24
= 4(2x3 + 3x2 - 11x - 6)
= 4(2x3 - 4x2 + 7x2 - 14x + 3x - 6)
= 4[2x2(x - 2) + 7x(x - 2) + 3(x - 2)]
= 4(x - 2)(2x2 + 7x + 3)
= 4(x - 2)(2x2 + 6x + x + 3)
= 4(x - 2)[2x(x + 3) + 1(x + 3)]
= 4(x - 2)(x + 3)(2x + 1)
Wiki User
∙ 12y ago
Wiki User
∙ 8y ago4(2x + 1)(x - 2)(x + 3)
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What is the polynomial of 2 x?
this term 2x is not a polynomial. this term is a monomial. since only one term was listed it can not be a polynomial. A polynomial is like four or more terms. a trinomial is three terms and a binomial is two terms.
What is the polynomial of 2x in standard form?
2x is just 2x and it is not a polynomial. This is a monomial because it just has one term. a polynomial is four or more terms.
A monomial is also a polynomial?
Yes, it can be considered a polynomial with one term.
How do you solve this equation Form a polynomial with the given zeros 2 mult 2 3 5 I don't want the answer I want to know how to find the answer?
If you have the zeros of a polynomial, it is easy, almost trivial, to find an expression with those zeros. I am not sure I understood the question correctly, but let's assume you have the zero 2 with multiplicity 2, and other zeros at 3 and 5. Just write the expression: (x-2)(x-2)(x-3)(x-5). (Example with a negative zero: if there is a zero at "-5", the factor becomes (x- -5) = (x + 5).) You can multiply this out to get the polynomial if you like. For example, if you multiply every term in the first factor with every term in the second factor, you get x2 -2x -2x + 4 = x2 -4x + 4. Next, multiply each term of this polynomial with each term of the next factor, etc.
What is the degree of a polynomial having more than 1 term but with different variables?
The degree of a polynomial is the highest exponent in the polynomial.
What the constant factor of a term of polynomial?
coefficient
What is the polynomial of 2 x?
this term 2x is not a polynomial. this term is a monomial. since only one term was listed it can not be a polynomial. A polynomial is like four or more terms. a trinomial is three terms and a binomial is two terms.
Where p is a factor of the leading coefficient of the polynomial and q is a factor of the constant term.?
Anywhere. Provided it is not zero, and number p can be the leading coefficient of a polynomial. And any number q can be the constant term.
What is the definition of numerical coefficient?
the numerical factor in a term of polynomial
The rational roots of a polynomial function F(x) can be written in the form where p is a factor of the constant term of the polynomial and q is a factor of the leading coefficient.?
TRue
What is the polynomial of 2x in standard form?
2x is just 2x and it is not a polynomial. This is a monomial because it just has one term. a polynomial is four or more terms.
How can you find a degree in a polynomial?
The degree of a polynomial is the highest degree of its terms. The degree of a term is the sum of the exponents of the variables that appear in it.7x2y2 + 4x2 + 5y + 13 is a polynomial with four terms. The first term has a degree of 4, the second term has a degree of 2, the third term has a degree of 1 and the fourth term has a degree of 0. The polynomial has a degree of 4.
How can you know that a term is polynomial?
A [single] term cannot be polynomial.
What is a polynomial with four terms?
First off, it is NOT A QUINTIC! Typically a polynomial of four or more terms is called "a polynomial of n terms", where n is the number of terms. Only the one, two, and three term polynomials are referred to by a particular naming convention.
A quadratic polynomial has a degree of 2?
True Yes. Although the term 'quad' stands for four, a quadratic equation is a polynomial of second degree.
A monomial is also a polynomial?
Yes, it can be considered a polynomial with one term.
What is a polynomial that does not factor over the real numbers referred to as?
There is no specific term for such polynomials. They may be referred to as are polynomials with only purely complex roots.
