Question

4. Form a quadratic polynomial whose zeroes
are 7+ √5 and 7-√5.

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Answer 1

Answer:

the quadratic equation is k(x2-14x +44)

Answer 2

Answer:

the quadratic polynomial is = x² -14x + 44

Step-by-step explanation:

let one zero be α and other be β

α= 7 + √5 β= 7 - √5

sum of zeroes

α + β = -b/a

7 + √5 + 7 - √5 = -b/a

14 = -b/a

product of zeroes

αβ = c/a

(7+√5)(7-√5) = c/a

(7)² - (√5)² = c/a

49 - 5 = c/a

44 = c/a

therefore the equation is,

x² - 14x + 44

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