Form a polynomial whose zeros and degree are given. Zeros: 3, multiplicity 1; 1, multiplicity 2; degree 3 Type a polynomial with integer coefficients and a leading coefficient of 1 in the box below. f(x) = x2 - 7x² +21x – 18 (Simplify your answer.)
3) Write a polynomial f(x) that meets the given conditions. Answers may vary. 3) Degree 2 polynomial with zeros 212 and -222 A) S(x) = x2 + 472x+8 B) f(x) = x2-8 9 S(x) = x² + 8 D) S(x) = x2-11/2x+8 4) Degree 3 polynomial with zeros 6, 21, and -2i A) S(x) => x3 + 6x2 + 4x + 24 f(x)= x2 - 6x2 + 4x - 24 B) /(x) = x2 - 6x2 - 4x + 24...
9-11
9. Find the polynomial of degree 4 whose graph is shown. (It is not necessary to multiply out - You can leave your answer in factored form) 10. Find all real and complex zeros of the function f(x) = 3x* +5x' +25x +45x-18. 11. Find a polynomial of degree 4 that has zeros of 1, 2, and 1+i.
Review for Sections 3.2 and 3.3: 1. [3 pts] Use synthetic division to divide x5 – x4 – 3x3 – 4x2 + 2x – 51 by x – 3. (Show algebraic work.) 2. [4 pts] Solve the equation x3 – 11x2 + 38x – 40 = 0 given that 4 is a zero of f (x) = x3 – 11x2 + 38x – 40. (Show algebraic work.) 3. [5 pts] Answer parts a. – c. below for the given polynomial...
Question 28 Assume that x, y, and z are positive numbers. Use the properties of logarithms to write the expression -210g x – 6logy + 5log as the logarithm of one quantity. X 1080 y2.26 O None of these 10g Z 108 x 2uyº - xo.za logo 1oBo Question 29 Find a polynomial with the given zeros. Remember each zero produces a factor. 3,1 O x2 - 4x +4 O x2 - 4x - 3 o r2 - 4x +3...
please answer 18 , 19, 20
(a) wrtical shift gonitsup (e) Horizonial shift 9 wnits to the right (e) Nose of these (d) Horisomal shift 9 units to the lefi Find the amplitnde, pesiod or phase shif. Find thn period of y-l sin|4x+ A)3 D) Find the phase shift ofy--3-2sins tothe left B)끔tothe night A) ) π to the right 어tothe 끝tothe left D tothe right Find the amplitude of y-4 sin 2 C) 4 B) 3 A)-12 D) Use...
Question 31 Given a zero of the polynomial function, find the remaining zeros. Then, write the polynomial as a product of linear factors i completely factored form). f(x) = x3 - x2 + 9x - 9; zero: 1 o f(x)=(x - 1)(x + 3i)(x - 3i) o f(x) = (x - 1)(x + 1)(x2 +9) O f(x) = (x + 1)(x + 3i)(x - 3i) o f(x) = (x - 1)(x + 3)(x - 3) O f(x) = (x +...
i need help with number 55 . I keep coming up with the wrong
answer. this would be helpful to me. Thank you
49. (3x+ (2x2) 50. (x - 1)1/3(x - 1)-1/4 P.3 In Exercises 51-54, write the polynomial in standard form. Identify the degree and leading coefficient. 51. 3 - 11x2 53. - 4 - 12.x2 52. 3x3 - 5/5 + - 4 54. 12x - 7x2 + 6 sin In Exercises 55-58, perform the operation and write the...
find remaining zero of polynomials
List the zeros of the following polynomials. Also indicate their multiplicity (cross or bounce at each root) a. f(x)-x(x 7)(x 1)(x - 5) 2. b. fx) 15x(x -7)3 (x + 5)7 3. Given that a 5th degree polynomial has some of its zeros as: -1, (5- 5i), (3-v7) Find the remaining zeros of the polynomial:
1) find the vertex and axis of symmetry of the graph of the
function.
2) determine the domain and the range of the function.
3) State whether the function is a polynomial function or not.
If it is, give its degree. If it is not, tell why not.
4) For the polynomial, list each real zero and it’s
multiplicity. Determine whether the graph crosses or touches the
x–axis at each x-intercept.
vertex and axIS oF Sm f(x) = x2 +...