find the quadratic polynomial whose zeroes are 2 and -6 verify the relation between cofficients and zero of polynomial
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Answered by
42
2 , -6 are the roots of a polynomial ,
so,
but we know,
polynomial is ---
x² -( sum of roots )x + product of roots
sum of roots = 2 -6 = -4
product of roots = 2×(-6) = -12
so,
polynomial is =====
x² -(-4)x +(-12)
x² +4x -12 ( answer)
so,
but we know,
polynomial is ---
x² -( sum of roots )x + product of roots
sum of roots = 2 -6 = -4
product of roots = 2×(-6) = -12
so,
polynomial is =====
x² -(-4)x +(-12)
x² +4x -12 ( answer)
Answered by
18
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