Question

find a quadratic polynomial whose sum and product of zeros are 4,1 respectively​

Answer 1

Answer:

The Required Quadratic Polynomial is x²-4x+1.

Step-by-step explanation:

→ Given:-

• Sum of the zeros of the Quadratic Equation=4

• Product of the zeros of the Quadratic Equation=1

→ To Find:-

• The Quadratic Equation= ?

→ Solution:-

✧Skeletal Quadratic Equation:-

⇒ x²-(sum of zeros)x+(product of zeros)=0

⇒ x²-(4)x+(1)=0

⇒ x²-4x+1=0

Some Extra Information about Sum and Product of zeros:-

In a Quadratic Polynomial ax²+bx+c=0

⇒ Sum of zeros is given by $\frac{-b}{a}$.

⇒ Product of zeros is given by $\frac{c}{a}$.