jasminhidalgo35 jasminhidalgo35
  • 30-06-2020
  • Mathematics
contestada

Two roots of a 3-degree polynomial equation are 5 and -5. Which of the following cannot be the third root of the equation ?
0
-5i
-5
5i
5

Respuesta :

jimrgrant1 jimrgrant1
  • 30-06-2020

Answer:

- 5i and 5i

Step-by-step explanation:

The Fundamental theorem of Algebra states that a polynomial of degree 3 has 3 roots, real and/ or complex.

Complex roots occur in conjugate pairs.

Given 2 real roots x = 5, x = - 5

There cannot be complex roots as they occur in pairs which would result in the polynomial having 4 roots instead of 3.

Answer Link

Otras preguntas

what a^2-2a-48=0 by solving equations by completing the square
how did speculative investing weaken the stability of the stock market
A bedroom is 5.2 meters wide. Find its width in feet. (1meter =3.28 feet)
The largest state in the US is Alaska, covering 663,267 square miles (including water). What is the approximate radius of a sphere with the same surface area as
56+64 write the sum of the numbers as the product of their GCF and another sum
aquinas based his writings upon the arguments of what two things
43,782 find the value of the underlined digit so the under lined digit should be 70
Every time Siobhan plays tennis, she does great until her opponent sends the ball in an unexpected direction. Then she has trouble deciding where to go, and her
Which type of economic system was favored by small business owners?
in what way did president grant's approach to reconstruction differ from that of president johnson