excuse me

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

3 Answers

u 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.

may be known as a quaternary polynomial or equn. :)

an equation of degree 4 is known as biquadratic equation

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