Question

9. उस द्विघात बहुपद को ज्ञात कीजिए जिसके शून्यक 4 और -4 हैं। ​

Answer 1

x2-4=0=x2=4

x2+4=0=x2=-4

Answer 2

SOLUTION

TO DETERMINE

The quadratic polynomial whose zeroes are 4 and - 4

CONCEPT TO BE IMPLEMENTED

If the Sum of zeroes and Product of the zeroes of a quadratic polynomial is given then the quadratic polynomial is

$\sf{ {x}^{2} -(Sum \: of \: the \: zeroes )x + Product \: of \: the \: zeroes }$

EVALUATION

We have to find the quadratic polynomial whose zeroes are 4 and - 4

The zeroes are 4 and - 4

Sum of the zeroes = 4 - 4 = 0

Product of the zeroes = 4 × ( - 4 ) = - 16

Hence the required Quadratic polynomial

$\sf{ = {x}^{2} -(Sum \: of \: the \: zeroes )x + Product \: of \: the \: zeroes }$

$\sf{ = {x}^{2} - 0.x - 16}$

$\sf{ = {x}^{2} - 16}$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

$1.$ Form a quadratic equation such that one of its roots is 5. Forma quadratic equation for it and write.

https://brainly.in/question/38226428

2. If p = 1 and q = –2 are roots of a quadratic equation, then quadratic equation will be

https://brainly.in/question/39283719