Question

find the quadratic polynomial the sum of whose zeros is -5 and their product is 6​

Answer 1

Answer :-

Given :-

• Sum of zeros = -5
• Product of zeros = 6

To Find :-

• Quadratic Polynomial

Solution :-

We know that,

Sum of zeros of quadratic polynomial = -b/a

Product of zeros = c/a

So,

→ -b/a = -5

→ c/a = 6

Assuming a to be 1 :-

→ -b = -5

→ b = 5

→ c = 6

General form of quadratic polynomial = ax² + bx + c

Hence,

Quadratic Polynomial = x² + 5x + 6