Question

find a quadratic polynomial with the the sum of its zeros being -1/4 and the product of its zeros being 1/4.​

Answer 1

Answer:

a=4

b= 1

c= 1

Step-by-step explanation:

Answer 2

Answer:

⇒ 2x² + 2√2x + 3

Step-by-step explanation:

Given that ;

Sum of roots = -√2

Product of roots = 3/2

Let the zeroes of the quadratic polynomial be α and β.

α + β = -√2

αβ = 3/2

Now, we know that;

The quadratic polynomial is given by-

x² - (α + β)x + αβ

⇒ x² - (-√2)x +

⇒ x² + √2x +

⇒ = 0

⇒ 2x² + 2√2x + 3

Hence, the required quadratic polynomial is 2x² + 2√2x + 3