find a quadratic polynomial the sum and the product of whose zeroes are -5 and - 14 respectively hence find the zeros
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Answer:
let the zeroes be x and y
now according to question
x+y=-5
xy=-14
now polynomial is a^2-(x+y)a+xy
polynomial is :a^2-(-5)a+(-14)
a^2+5a-14
solving the equation
a^2+7a-2a-14=0
a(a+7)-2(a+7)=0
(a+7)(a-2)=0
a=-7or2
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