Find nature of roots of polynomial equation
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Let the POLYNOMIAL EQUATION be in the increasing manner :
1.) LINEAR POLYNOMIAL :
It's roots are directly equivalent to the value obtained after equating the equation to zero
Ex, 2x -3 = 0 ; hence , x = 3/2
2.) QUADRATIC POLYNOMIAL :
Standard quadratic equation :
ax² + bx + c = 0
nature of roots : [ Roots be A and B ]
A + B > 0 if b < 0
A + B < 0 if b > 0
AB > 0 if c > 0, a > 0 or , simultaneously , c < 0 and a < 0
AB < 0 if c < 0 or , a < 0
Same implies on cubic , biquadratic , and so on ...
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1.) LINEAR POLYNOMIAL :
It's roots are directly equivalent to the value obtained after equating the equation to zero
Ex, 2x -3 = 0 ; hence , x = 3/2
2.) QUADRATIC POLYNOMIAL :
Standard quadratic equation :
ax² + bx + c = 0
nature of roots : [ Roots be A and B ]
A + B > 0 if b < 0
A + B < 0 if b > 0
AB > 0 if c > 0, a > 0 or , simultaneously , c < 0 and a < 0
AB < 0 if c < 0 or , a < 0
Same implies on cubic , biquadratic , and so on ...
★✩★✩★✩★✩★✩★✩★✩★✩★✩★✩★
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