Find th zeros of the polynomial 2x4+7x3-19x2-14x+30 if two zeroes are root 2 and -root 2
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let other 2 zeroes be x,y
sum of zeroes= - coefficient of x^3/ coefficient of x^4
= -7/2
so √2 -√2 + X + y = -7/2
x+ Y = -7/2
product of zeroes= constant/ coefficient of x^4
= 30/2 = 15
√2 .-√2. xy = 15
xy= -15/2
x= -15/2y
x+ y= -7/2
put x= -15/2y and get value of y and then x
sum of zeroes= - coefficient of x^3/ coefficient of x^4
= -7/2
so √2 -√2 + X + y = -7/2
x+ Y = -7/2
product of zeroes= constant/ coefficient of x^4
= 30/2 = 15
√2 .-√2. xy = 15
xy= -15/2
x= -15/2y
x+ y= -7/2
put x= -15/2y and get value of y and then x
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