Question

If one zero of the polynomial x2-4x+1 is 2+rootunder3 then the other zero is

Answer 1

Answer:

Given that,

• Polynomial p(x) = x² - 4x + 1
• One of the zero = 2 + √3
• To get another zero...

Let,

• a = 1
• b = - 4
• c = 1
• α = 2 + √3

➢ Sum of the zeros : α + ß = -b/a

➡ (2 + √3) + ß = -(-4)/1

➡ (2 + √3) + ß = 4

➡ √3 + ß = 4 - 2

➡ √3 + ß = 2

➡ ß = 2 - √3

Therefore, another zero is “ 2 - √3 ”.

Step-by-step explanation:

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