11may be known as a quaternary polynomial or equn. :)
a quadratic polynomial having zeroes a,b is given by
P(x) = x2 - (a + b)x + ab
similarly,
a cubic polynomial having zeroes a,b,c is given by
P(x) = x3 - (a + b + c)x2 + (ab + bc + ac)x - abc
so what bout a polynomial having zeroes a,b,c,d
i guess its like
f(x) = x4 - (a + b + c + d)x3 + (ab + bc + cd + ad)x2 - (abc + bcd + cda + dab)x + abcd
and an equation of degree 4 is known as ................ equation
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3 Answers
11u missed by a bit... :)
it is
f(x)= x4 - (a+b+c+d)x3 + (ab+bc+cd+da+ac+bd)x2 - (abc+bcd+cda+dab)x + abcd.
