Question

A quadratic polynomial whose product of zeroes is -36 and sum of the zeroes is 0, is​

Answer 1

Answer:

p(x)=x²-36

Explanation:

According to general form, p(x)=x²-(SUM)x+PRODUCT

So p(x) = x²-(0)x+(-36) or x²-36

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Answer 2

${ \huge{ \underline{ \underline{ \sf{ \green{GivEn : }}}}}}$

• Product of zeroes = -36

•Sum of zeroes = 0

${ \huge{ \underline{ \underline{ \sf{ \green{To \: find :}}}}}}$

• What's the quadratic polynomial?

Formula to be used :-

• x² -(α + β)x + αβ

${ \huge{ \underline{ \underline{ \sf{ \green{SoluTion : }}}}}}$

Let α and β be the zeroes of required polynomial.

Given that,

Product of zeroes = -36

Sum of zeroes = 0

Therefore,

α + β = 0

αβ = -36

____________________________________________________

We know,

Formula for quadratic polynomial ___

x² -(α + β)x + αβ

= x² -(0)x + (-36)

= x² - 0x - 36

= x² - 36

Hence,the required quadratic polynomial is

x² - 36