Question

A quadratic polynomial whose zeros is 0 and one zero is 3, is​

Answer 1

$\large \bf \clubs \:  Given :-$

For a Quadratic Polynomial

• First Zero = 0

• Second Zero = 3

-----------------------

$\large \bf \clubs \:  To \: Find :-$

• The Quadratic Polynomial.

-----------------------

$\large \bf \clubs \:  Main \: Concept : -$

☆ If sum and product of zeros of any quadratic polynomial are S and P respectively,

Then,

The quadratic polynomial is given by :-

$\bf  {x}^{2}  - S \: x + P$

-----------------------

$\large \bf \clubs \:  Solution :-$

Here,

Sum = S = 0 + 3 = 3

Product = P = 0 × 3 = 0

So,

Required Polynomial should be :

$\bf  {x}^{2}  - S \: x + P$

$:\longmapsto  \tt{x}^{2}  - 3x+0$.

$\Large\purple{:\longmapsto\pmb{ {x}^{2}  -3x}}$

$\Large \red{\mathfrak{  \text{W}hich \:   \: is  \:  \: the  \:  \: required} }\\ \huge \red{\mathfrak{ \text{ A}nswer.}}$

-----------------------

Answer 2

Step-by-step explanation:

$\sf \purple {{ \hearts}Given \colon}$

$\sf \: A \: quadratic \: polynomial \: whose \: zeroes \: are$

• 0
• 3

$\sf\purple{{ \hearts \: To \: find \colon}}$

The Quadratic Polynomial.

$\sf \purple{ \hearts \: Main \: Concept \: \colon}$

$\diamonds$If sum and product of zeroes of quadratic polynomial are taken as S and P .

Then the quadratic polynomial is given by :-

$\bf {{x}^{2} -Sx + P }$

$\sf \purple{ \hearts \: Solution \colon}$

Sum = 0 + 3 = 3

Product = 0 * 3 = 3

$\therefore$Required polynomial is :-

$\bf {{x}^{2} -Sx + P }$

$\bf \: {x}^{2} - 3x + 0$

$\bf \: {x}^{2} - 3x$

Which is the required answer .