Question

if alpha and beta are two zeroes of 2 x square - 4 x + 6 find the quadratic polynomial whose zeroes are alpha . upon beta and beta upon alpha

Answer 1

Answer:

since, a(alpha) and b(beta) are 2 zeros of given polynomial.

so, a+b= -(-4)/2

a+b=2 -------(i)

a.b=6/2

a.b=3 -------(ii)

zeros of second polynomial are a/2 and b/2

so, sum of zeros(S) = a/2+b/2

S = (a+b)/2

from eq (i), a+b =2

so,. S =2/2=1

product of zeros(P)= a/2×b/2

P= a.b/4

from eq (ii), a.b=3

so,. P=3/4

eq of quadratic polynomial is,

x²-Sx+P=0

x²-1x+3/4=0

4x²-4x+3=0

hence, it will be the quadratic equation.

hope it helps u..

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thank u

Answer 2

Answer:

sorry! it is really hard I can't answer really sorry!