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.