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oksian1 [2.3K]
2 years ago
10

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

Mathematics
1 answer:
Serhud [2]2 years ago
6 0

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

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