Question

Find the quadratic polynomial when sum and product of its zeroes are -4 and -1/7 respectively

Answer 1

put sum of zero and product of zero in qaid sab u will find the answer

Answer 2

Answer:

Required Quadratic polynomial is k( 7x² + 28x + 1 ).

Step-by-step explanation:

We are given Sum of zeroes = -4  and product of zeroes = -1 / 7

We have to find Quadratic polynomial.

let α and β be two zeroes of the quadratic polynomial.

Then the quadratic polynomial is given by,

k ( x² - (α+β)x + αβ )

given,

α + β = -4

αβ = -1/7

So, we get

k( x² - (-4)x + (-1/7) )

= k( x² + 4x + 1/7 )

= k( 7x² + 28x + 1 )

Therefore, Required Quadratic polynomial is k( 7x² + 28x + 1 )