# Use the graph to write a polynomial function of least degree.

Use the graph to write a polynomial function of least degree. Solution To write the equation of the polynomial from the graph we must first find the values of the zeros and the multiplicity of each zero. The zeros of a polynomial are the x-intercepts, where the graph crosses the x-axis. The multiplicity is determined from the characteristics of the polynomial at the zero. This graph passes.

This calculator can generate polynomial from roots and creates a graph of the resulting polynomial.

Question 668545: Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros: 3i,2-i. Found 2 solutions by swincher4391, solver91311.

Turning Points and x- x-intercepts of Polynomial Functions; Least Possible Degree of a Polynomial Function; 3.3 Section Exercises Verbal. 1. Explain the difference between the coefficient of a power function and its degree. 2. If a polynomial function is in factored form, what would be a good first step in order to determine the degree of the function? 3. In general, explain the end behavior.

In mathematics, the degree of a polynomial is the highest of the degrees of the polynomial's monomials (individual terms) with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer.The term order has been used as a synonym of degree but, nowadays, may refer to several other concepts (see order of a.

Answers OSCAT1 5.3.195 Use the graph to write the formula for a polynomial function of least degree. f(x) Recall that the zeros are used to write the factors of the polynomial function. Considering each 2 of the graph, what is the multiplicity of each zero and the corresponding degree of each factor? function Additional Materials LeBook 11 Example Video Submit Answer Save Progress Practice.

Write a polynomial equation of least degree with roots 2, 4i, and 4 i.. 208 Chapter 4 Polynomial and Rational Functions ( 10, 10) scl:1 by ( 50, 50) scl:5 Examples 3 Factor the equation to find the roots. 9x4 35x2 4 0 (9x 2 1)(x 4) 0 (9x2 1)(x 2)(x 2) 0 To find each root, set each factor equal to zero. 9x2 1 0 x2 2 1 9 Solve for x. x 1 9 ( 1) x 1 3 1 or 1 3 i x 2 0 x 2 0 x 2 x 2 The roots.

A polynomial with a real zero with multiplicity four and two imaginary zeros must be a degree polynomial. Write a factored form polynomial function f(x) of least degree that has a leading coefficient of 1 with the real zeros shown in the graph. 7. 8.

Write a polynomial function with the given zeros and their corresponding multiplicities. There are many possible answers Zeros Mult -8 4 1 -6 Preview f (x) expression in factored form for the polynomial of least possible degree graphed below.

Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. Write the polynomial in - 13756362.

Write a polynomial equation of least degree with roots 2, 4 i, and 4 i. b. Does the equation have an odd or even degree? How many times does the graph of the related function cross the x -axis? a. If x 2, then x 2 is a factor of the polynomial. Likewise, if x 4i and x 4i, then x 4i and x ( 4i) are factors of the polynomial. Therefore, the linear factors for the polynomial are x 2, x 4i, and x.