Find the quadratic polynomial whose zeroes are 2 and -6 respectively. Verify the
relation between the coefficients and zeroes of the polynomial
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↝α+β=2+(-6)
↝α+β=-4
↝αβ=2×-6
↝αβ=-12
✪Using the Formula
→k[x²-(α+β)x+αβ]
↝k[x²-(-4)x+(-12)]
↝k[x²+4x-12]
•Let k=1•
↝1[x²+4x-12]
☞x²+4x-12 is the Polynomial.
*Since The Zeros Form a Polynomial,It Verifies the Relation b/w coefficients and the zeros of the polynomial.*
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