Question

Find the quadratic polynomial whose zeroes are −2 & 3.
(only for stars and mods)

Answer 1

Step-by-step explanation:

Given :

Zeroes of a quadratic polynomial are -2 and 3.

To find :

The quadratic polynomial.

Solution :

From the zeroes we have,

》Sum of zeroes :  

• (-2) + (3)
• 1

》Product of zeroes :  

• (-2) × (3)
• -6

》Quadratic polynomial :

✮ x² - (Sum of zeroes)x + (Product of zeroes)  

⇛ x² - (1)x + (-6)  

⇛ x² - x - 6

...ッ

• x² - x - 6 is the required quadratic polynomial.

Answer 2

Given :-

The zeroes of a quadratic polynomial are - 2 and 3 .

To Find :-

The Quadratic Polynomial

Solution :-

Let us assume that ;

∆ = - 2

∆ = - 2 γ = 3

Sum of zeroes = S = ∆ + γ = - 2 + 3 = 1

Product of zeroes = P = ∆ . γ = - 2 . 3 = - 6

Now , As we knows that the quadratic polynomial is :-

=> x² - Sx + P

=> x² - ( 1 ) x + ( - 6 )

=> x² - x - 6

Henceforth, The Required Polynomial is x² - x - 6