Question

Plz give the explanation

Answer 1

Answer:

The quadratic polynomial is x² + 3x + 4.

Step-by-step explanation:

Let the quadratic polynomial be ax² + bx + c,

Sum of zeroes = α + β = -3

Product of zeroes = α x β = 4

α + β = -b/a

-3/1 = -b/a

-3 = -b

b = 3

α x β = c/a

4/1 = c/a

c = 4

Therefore, a = 1, b = 3 and c = 4.

Hence, the quadratic polynomial is x² + 3x + 4.

I hope this answer is helpful for you.