Class 10 Math All topics Polynomials



If one of the zeros of a quadratic polynomial of the form is the negative of the other, then it
(a)
has no linear term and the constant term is negative
(b)
has no linear term and the constant term is positive
(c)
can have a linear term but the constant term is negative
(d)
can have a linear term but the constant term is positive
Correct answer: (a) 
Solution: 

We know that equation 

Then sum of roots and product of roots

Given quadratic polynomial is,

Let one of the zero of the polynomial is then the other zero will be .
Sum of zeros=

=>

=>
and product of the zeros =

=>

=>
=> has to be negative.
Hence, option is correct.

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Similar topics
introduction to trigonometry
functions
some applications of trigonometry
quadratic equations
polynomials
widgit image
Connecting you to a tutor in 60 seconds.
Get answers to your doubts.
play store logo
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introduction to trigonometry
functions
some applications of trigonometry
quadratic equations
polynomials