Find the quadratic polynomial whose sum of zero is -√2 and the product of zero is-6
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As we know the sum of zeroes ⇒ ∝+β = -b/a
and the product of zeroes ⇒ ∝*β= c/a
and we have equation ax²+ bx +c =0
now divide this eq. by a you wil get
x²-(-bx/a)+ c/a=0 [here we did +bx/a = -(-bx/a)] we can write it so
b/a= √2
and c/a= -6
we will get
x²-√2 x-6=0 ans.
Step-by-step explanation:
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