Question

Find a quadratic polynomial, the sum and product of whose zeroes are -2√3 and -9 respectively. Also find its zeroes by factorisation.​

Answer 1

Answer:

(a + ß) = -2√3 ; aß = -9

x² - (a+ß) + aß

→x²+2√3 -9

→x² + 3√3x - √3x - 9

→x(x - 3√3) - √3 ( x + 3√3)

→ (x -3√3) ( x-√3)

→x = 3√3 and x = √3

polynomial : x²+2√3 -9

zeroes : 3√3 and √3

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