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How do you find a 4th degree polynomial with zeros x equals 4 x equals -3 and x equals 6i?
There are only three roots given so, in general, there is no unique answer.
However, if it is a real polynomial, then its complex roots must come in conjugate pairs. Then 6i is a root implies that -6i is a root.
So the polynomial is (x - 4)(x + 3)(x + 6i)(x - 6i)
= (x2 - x - 12)(x2 + 36)
= x4 + 36x2 - x3 - 36x - 12x2 - 432
= x4 - x3 + 24x2 - 36x - 432
What else can I help you with?
How do you find the zeros of any given polynomial function?
by synthetic division and quadratic equation
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 do you find the degree of polynomials?
First look at the degree of each term: this is the power of the variable. The highest such number, from all the terms in the polynomial is the degree of the polynomial. Thus x2 + 1/7*x + 3 has degree 2. x + 7 - 2x3 + 0.8x5 has degree 5.
What is the polynomial degree of 4ab5 2ab-3a4b3?
To find the polynomial degree you have only to add the exponents of all of the different components of the polynomial. In your case, you would add 1 and 5 from 4ab5 to get 6, 1 and 1 from 2ab to get 2, and 4 and 3 from 3a4b3 to get 7. Since the degree of the third component is the highest, that is you're answer.
Is it possible to find a polynomial of degree 3 that has -2 as its only real zero?
5
How Find a polynomial degree of 3 whose zeros are -2 -1 and 5?
Multiply x3 - 2x2 - 13x - 10
In given figure graph of polynomial x is given find the zero of polynomial?
To find the zeros of the polynomial from the given graph, identify the points where the graph intersects the x-axis. These intersection points represent the values of x for which the polynomial equals zero. If the graph crosses the x-axis at specific points, those x-values are the zeros of the polynomial. If the graph merely touches the x-axis without crossing, those points indicate repeated zeros.
How do you find polynomial whose zeros are given?
when the equation is equal to zero. . .:)
Is 13 a polynomial If it is find its degree and classify it by the number of its terms?
13 is not a polynomial.
How do you find a degree of a graphed polynomial?
Factors
How do you find the degrees of a polynomial?
Find the degree of each term. The greatest degree is the degree of the polynomial. e.g. the degree of x2+x+1 is 2, the degree of x3+x2+x+1 is 3 etc
How do you find the zeros of any given polynomial function?
by synthetic division and quadratic equation
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.
What is the remainder thereom?
The remainder theorem states that if you divide a polynomial function by one of it's linier factors it's degree will be decreased by one. This theorem is often used to find the imaginary zeros of polynomial functions by reducing them to quadratics at which point they can be solved by using the quadratic formula.
How do you find the degree of a polyomial?
For a single variable, the degree is the highest power that appears in the polynomial.
How do you find the zeros of cubic polynomial equation?
If the cubic polynomial you are given does not have an obvious factorization, then you must use synthetic division. I'm sure wikipedia can tell you all about that.
what are all of the zeros of this polynomial function f(a)=a^4-81?
Find All Possible Roots/Zeros Using the Rational Roots Test f(x)=x^4-81 ... If a polynomial function has integer coefficients, then every rational zero will ...
