1.

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

Answer»

Answer:

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

Step-by-step explanation:

→ Given:-

  • 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}.


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