Question

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

Answer 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.