Question

A quadratic polynomial, whose zeroes are -4 and -5, is …

Answer 1

Answer:

x^2 +9x +20 is ur correct answer

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 -4 and -5

TO DETERMINE

The quadratic polynomial

EVALUATION

The Zeros are - 4 & - 5

So

Sum of the zeroes

= - 4 + (-5)

= - 4 - 5

= - 9

Product of the Zeros

= (-4) × (-5)

= 20

So the required polynomial is

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

$= {x}^{2} - ( - 9)x + 20$

$= {x}^{2} + 9x + 20$