ianinglis ianinglis
  • 17-09-2021
  • Mathematics
contestada

PLEASE HELP ASAP
Write a polynomial of the smallest degree with roots 1, -3, and 4.

Respuesta :

kenchuks kenchuks
  • 17-09-2021

Answer:

x^3 - 2x^2 - 11x +12

Step-by-step explanation:

If 1 is a root, then x-1 is a factor

If -3 is a root, then x+3 is a factor

If 4 is a root, then also x-4 is a factor

A product of the three factors gives us the polynomial

(x-1)(x+3)(x-4) = (x^2 +2x - 3)(x-4)

= x^3 - 2x^2 - 11x +12

Answer Link

Otras preguntas

Find the inverse of g(x) = 3x^2 - 5
in a 45-45-90 triangle, the hypotenuse is 7, find both the legs
What is the angle of rotation from figure A to figure A’? Assume that the center of rotation is the origin. A. 180° clockwise B. 90° counterclockwise C. 180° co
On a coordinate plane, 2 lines intersect at one point. The graph shows the solution of a system of equations. How many solutions does it have? exactly one solut
Given f(x) = 3x - 1 and g(x)=2x-3, for which value of x does g(x) = f(2)?2O X-2xeO X4​
According to Le Châtelier's principle, how would a change in pressure affect agaseous system in equilibrium?​
Please Help! Select the correct answer. Simon used these steps to solve an equation:
My brother didn't study well ; as a result, he failed the test. *10 pointsSimpleCompoundComplex​
What are two possible measures of the angle below? On a coordinate plane, 2 rays form an angle. One ray sits on the x-axis in quadrant 1 and another sits on the
can someone help me with the question, please.