Question

find the zeroes of poly p(y) =y2+4√3y-15 by factorisation method and verify the relation ship between co-efficient and zerors​

Answer 1

Answer:

GIVEN:− y² + 4√3y - 15 = 0

Where, cofficient of x² = 1 , cofficient of x = 4√3 , constant or cofficient of x⁰ = -15

now finding the zeroes of the polynomial by splitting middle term.

y² + 4√3y - 15 = 0

y² + 5√3y - √3y - 15 = 0

y(y + 5√3) - √3(y + 5√3) = 0

(y - √3)(y + 5√3) = 0

y = √3 , y = -5√3

Now,

\relation :\: BETWEEN\:\: ZEROES\:\: AND\:\: CO-OFFIENT}}RELATIONSBETWEENZEROESANDCO−OFFIENT

sum of zeroes = (-cofficient of x) / (cofficient of x²)

√3 + (-5√3) = -4√3/1

-4√3 = -4√3

product of zeroes = cofficient of x⁰/cofficient of x²

(√3) * (-5√3) = (-15)/1

-15 = -15

Hence verified

Answer 2

Answer:

p(y)=0

y^2+4√3y-15=0

solve the equation and the value of y will be zero.

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