Question

The polyinamial having 2 and 3 zeroes is

Answer 1

$\huge\mathcal{Heya!!}$

Given zeroes :- 2 and 3

Let,

$\alpha = 2$

And

$\beta = 3$


Now,

Sum of zeroes, S :-

$= \alpha + \beta$
= 2 + 3
= 5


Product of zeroes , P :-

$= \alpha \beta$
= 2 × 3
= 6


Required polynomial :-

p(x) = k [x² - (S)x + P]

Putting values of S and P in it.

p(x) = k [x² - (5)x + 6]

p(x) = k [x² - 5x + 6]

Here, k = constant

Put k = 1

We get,

p(x) = x² - 5x + 6

$\tt\green{Required \ polynomial \ :-}$

$\tt\green{x^2 - 5x + 6}$

$\huge\mathbb{Hope \ this \ helps.}$

Answer 2

Hi !!






2 and 3 are the two zeroes.




Sum of zeroes = 2 + 3 = 5


And,


Product of zeroes = 2 × 3 = 6.


Therefore,


Required polynomial = X² - ( Sum of zeroes )X + Product of zeroes.



=> X² - ( 5)X + 6


=> X² - 5x + 6 [ Answer ]