Question

Find a quadratic polynomial, the sum and product of whose zeroes are – 3 and 2, respectively.

Answer 1

using formula, x power2 - (sum)x+ product
=x power 2+3x+2

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:

→ (+) × (+) = (+)

→ (+) × (-) = (-)

→ (-) × (+) = (-)

→ (-) × (-) = (+)