Question

How many maximum and minimum number of zeros can a quadratic polynomial have?

Answer 1

aloha user!!


a quadractic polynomial is the polynomial in which the highest degree is 2.

so the maximum number of zeroes/roots/values that it can have => 2.

what about minimum number of zeroes ?

=> 0


take for example-


x²  ( the value is 0 so it has one root )
x² + 2 ( it hasn't got any root. )
 why?
 => x² + 2 = 0
=> x² = -2
=> x =√-2 ( a negative number can never be in root )

and lastly:

x² - 4 = 0
x² = 4
x= √ 4

so we get two values i.e +4 and -4. 


hope it helps !!


peace out !!

Answer 2

ANSWER:

The degree of a quadratic polynomial is '2'

So, the maximum number of zeroes a quadratic polynomial can have is two (2)

And, the minimum number of zeroes a quadratic polynomial can have is zero (0)

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