Question

the number of polynomial having zeroes -1 and -5 is

Answer 1

Answer:

there can be infinetly many polynomials

Step-by-step explanation:

this is a conceptual based question

Answer 2

There are infinite number of polynomial having zeroes as - 1 and - 5

Given :

The zeroes - 1 and - 5

To find :

The number of polynomial

Solution :

Step 1 of 2 :

Write down the given zeroes

Here it is given that zeroes are - 1 and - 5

Step 2 of 2 :

Find number of polynomial

Sum of the zeroes = - 1 - 5 = - 6

Product of the zeroes = ( - 1 ) × ( - 5 ) = 5

Hence the polynomial is of the form

$\sf = k( {x}^{2} + 6x + 5 )$

Where k is a non zero real number

Since k can be any real number

Hence there are infinite number of polynomial having zeroes as - 1 and - 5