find a quadratic polynomial,the sum and product of whose zeroes are root 2 and -3/2 respectively.also find its zeroes
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F(X)=2X^2-4X-3
Roots are (2+sqrt(10))/2, ((2-sqrt(10))/2.
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Sum of the root = 2
product of the root = -3/2
Equation for a quadratic polynomial
x^2+(sum of the root)x+(product of the root) = 0
x^2+(2)x+ ( -3/2) =0
x^2+2x - 3/2=0
= 2x^2+4x-3=0
a = 2, b= 4 , c = -3
sum = -b/a
=4/2
= 2
product = c/a
= -3/2
I hope it is helped you
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product of the root = -3/2
Equation for a quadratic polynomial
x^2+(sum of the root)x+(product of the root) = 0
x^2+(2)x+ ( -3/2) =0
x^2+2x - 3/2=0
= 2x^2+4x-3=0
a = 2, b= 4 , c = -3
sum = -b/a
=4/2
= 2
product = c/a
= -3/2
I hope it is helped you
follow me
Sreyarroy:
i got a quadratic polynomial its 2x^2-2 root 2x-3
i'm sure this is the crct answer ..bt can you find its zeroes
there zeroes is only one is √2
thnkss
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