valmedina18 valmedina18
  • 23-06-2022
  • Mathematics
contestada

Write the quadratic equation whose roots are 3 and 1, and whose leading coefficient is 1

Respuesta :

jimrgrant1 jimrgrant1
  • 23-06-2022

Answer:

x² - 4x + 3 = 0

Step-by-step explanation:

given roots x = a and x = b then the corresponding factors are

(x - a) and (x - b)

the equation is then the product of these factors , that is

(x - a)(x - b) = 0

given

roots x = 3 and x = 1 , then factors are (x - 3) and (x - 1) , then

(x - 3)(x - 1) = 0 ← expand factors using FOIL

x² - 4x + 3 = 0

Answer Link

Otras preguntas

The Wilson family invited 100 relatives to their Christmas party. 90 guests had Dutch heritage, 80 had German heritage and 75 had English heritage. What is the
Paul Revere's print tells the story of the Boston Massacre from what point of view? A. The Royal Governor B. The colonists involved C. The British soldiers D. K
Was there any angle given with the question
Why are conservation and proper utilisation of natural resources essential for the sustainable development of the nation? Give reasons.(long question answer) ​
What is the trickle down approach to poverty?
According to Hebrews 11, what did Abraham believe God would do if Isaac was slain as a sacrifice?
Find the area of shaded region​
Interest = $45.58, time = 1 year, rate = 2.25%. Find the principal. Round to the nearest hundredth place
Wings of birds,wings of insects and patagia of bats are analogous organ​? why
How were social categories, roles, and practices maintained or changed from 1450-1750?