Question

find a quadratic polynomial the , sum and product of whose zero are -3 and 2 respectively

Answer 1

Hi

Quadratic polynomial whose zeroes

are p , q is of the form ,

x² - ( p+q ) x + pq

Now ,

If p = -3 , q = 2 are zeroes of the

polynomial then the required

polynomial is

x² - ( -3 + 2 ) x + ( -3 ) × 2

= x² + x -6

I hope this helps you.

:)

Answer 2

Given :

★ A quadratic polynomial the sum of and product of whose zeroes are - 3 and 2 respectively.

Find :

★ The quadratic polynomial.

Using formula :

★ Quadratic polynomial = x² - (Sum of roots)x + (Product of roots).

Know terms :

1) Sum = Adding.

2) Product = Multiplication.

3) Here we are calculating for root.

Solution :

→ x² - (a + b)x + ab = 0

→ x² - (-3)x + 2

→ x ² + 3x + 2

★ Therefore, this is the required polynomial.

Know More :

★ Some symbols in Integers:

→ (+) × (+) = (+)

→ (+) × (-) = (-)

→ (-) × (+) = (-)

→ (-) × (-) = (+)