Question

find a quardratic polynomial each with the given number as the sum of products of its zeroes respectively . 0,√5

Answer 1

HELLO FRIEND!!!
YOUR REQUIRED ANSWER IS...

p(x) = x²-(sum of roots)x + product of roots
= x² - 0.x + √5
= x² + √5

HOPE IT HELPS

REGARDS
★✩KHUSHI★✩

Answer 2

Hey there !!

We are given -

$sum \: of \: its \: zero \: \: \: \alpha + \beta = 0 \\ \\ product \: o \: its \: zero \: \: \alpha \beta \: = \sqrt{5}$
We know ,

f ( x) = k [ (x^2 - ( a+b) x + ab]


Now substituting the values of Its sum and product of zero

= [( x^2 - (0)x + √5]

=
${x}^{2} - 0 + \sqrt{5} \\ \\ = {x}^{2} + \sqrt{5} \\ or \: {x}^{2} - 0x + \sqrt{5}$
Hope this would help u !!