Question

Fund a quadratic polynomial whose sum of product of zeroed are 4,1 respectively. ​

Answer 1

x² - 4x + 1

Given:-

• Sum of Zeroes = 4

• Product of Zeroes = 1

To find:-

• Quadratic polynomial

Solution:-

The required Equation is given by,

→ x² - (sum of zeroes)x + (product of zeroes)

→ x² - (4)x + 1

→ x² - 4x + 1

Therefore, x² - 4x + 1 is the quadratic polynomial whose sum and product of zeores are 4,1 respectively.

_____________________

Answer 2

${ \huge{ \bold{ \underline{ \underline{ \purple{Question:-}}}}}}$

Find a quadratic polynomial whose sum of product of zeroes are 4,1 respectively.

${ \huge{ \bold{ \underline{ \underline{ \blue{Answer:-}}}}}}$

✒Given : -

• Sum of Zeroes = 4
• Product of Zeroes = 1

✒To Find : -

• Quadratic Polynomial

✒Formula Used : -

$\leadsto\sf{{ \small{ \boxed{ \bold{ \bold{ \green{{x}^{2}\:(\alpha+\beta)\:x+(\alpha\beta)}}}}}}}$

✒On Substituting Values : -.

$\dashrightarrow\sf{{x}^{2}-(4)x+1}$

$\dashrightarrow\sf{{x}^{2}-4x+1}$

✒Therefore , the Quadratic Polynomial is x² - 4x + 1 ..