How many zeroes does a polynomial 2x⁵ +4x⁴-3x³ -2x² has ?

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1. Answer:

   The polynomial 2x⁵ +4x⁴-3x³ -2x² has 5 zeros.

   Step-by-step explanation:

   • What is a Polynomial ?

   => It is an algebraic expression in which the variables of that particular polynomial has non negative integral power.

   • What is Zero of a polynomial ?

   => The zero of any polynomial of any degree , is the real value of variable (not fixed value) due to which the value of that polynomial becomes Zero (0).

   • Few methods to Find Zero of Polynomial:

   1. Middle term split method.
   2. By trial and error method.
   3. By factorization method. , etc…

   • How to check which polynomial has how many zeroes ?

   => To find this simply see the highest degree of polynomial. Like here , the polynomial is 2x⁵ +4x⁴-3x³ -2x².

   Now its highest degree is 5. (in 2x^5)

   So, it will have five zeroes.

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