Question

from a quadratic polynomial whose zeroes are 3 and -2​

Answer 1

$(x - 3)(x + 2) = {x}^{2} - 3x + 2x - 6$

$= {x}^{2} - x - 6$

mark as brainliest

Answer 2

$\displaystyle\huge\red{\underline{\underline{Solution}}}$

FORMULA TO BE IMPLEMENTED

If the zeroes of the quadratic polynomial are given, then the quadratic polynomial is obtained as

${x}^{2} - ( \: sum \: of \: the \: zeros \: )x + product \: of \: the \: zeros \:$

GIVEN

A quadratic polynomial, whose zeroes are 3 and -2

TO DETERMINE

The quadratic polynomial

EVALUATION

The Zeros are 3 & - 2

So

Sum of the zeroes

= 3 + (-2)

= 3 - 2

= 1

Product of the Zeros

= 3 × (-2)

= - 6

So the required polynomial is

${x}^{2} - ( \: sum \: of \: the \: zeros \: )x + product \: of \: the \: zeros \:$

$= {x}^{2} - x - 6$