Question

Find the quadratic polynomial whose zeroes are −2 & 3.

Answer 1

Let Zeroes are P and Q

P = - 2

Q = 3

Quadratic Polynomial = x^2 + ( P + Q )x + PQ

= x^2 + ( - 2 + 3 )x + ( - 2 )( 3 )

= x^2 + ( 1 )x - 6

= x^2 + x - 6

Therefore, the quadratic polynomial for the given zeroes is x^2 + x - 6

Answer 2

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

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