Polynomials

Algebra Level pending

Consider a polynomial a x 2 + b x + c ax^2 + bx + c such that zero is one of its roots then:

c ≠ 0 c \ne 0 , x = − a b x =-\dfrac ab satisfies the polynomial equation c = 0 c = 0 , x = − b a x = -\dfrac ba satisfies the polynomial equation Polynomial has equal roots. x = − b a x =-\dfrac ba satisfies the polynomial equation.

Ppk K by ppk k , 20, India

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1 solution

Ppk K
Mar 10, 2017

Please note, the options are:

1) c = 0, x = -b/a satisfies the polynomial equation

(2) c ≠ 0, x = -a/b satisfies the polynomial equation

(3) x = -b/a satisfies the polynomial equation.

(4) Polynomial has equal roots.

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