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

Solve for x: x/6 = 12
the comparison of the number of atoms in a copper coin the size of a penny with the number of people on earth is made to illustrate
what would happen if a person's body stopped producing carbonic anhydrase
The length of a rectangle is 3 times its width. The rectangle’s width is 4 m. What is the area of the rectangle? Enter your answer in the box.
Select the answer that properly completes the sentence. _____ apartment is on the third floor. A. Tina and Dave Johnson’ B. Tina and Dave Johnsons C.Tina’s
If a typical smelt weighs 225 g, what is the total mass of pcbs in a smelt in the great lakes?
The development of a new experimental method is most likely to change a theory if it makes it possible
x<4 on a number line please help
How do you say "you are doing it wrong you need to turn it" in german?
Four friends purchase 18.4 pounds of peaches. The peaches cost $1.75 per pound. The friends share the cost of the peaches equally. whats the amount that each pe