Question

find a quadratic polynomial whose zeros are root 15 and minus root 15​

Answer 1

hey mate..!!

given here ..

root of polynomial ..

√15 and -√15

now,

sum of root = [√15+(-√15)]

= √15-√15

=0

product of root =[√15 ×(-√15)].

= - 15

formula of quadratic polynomial

x²-(sum of root )x +(product of root )=0

put value .....

=>x²-(0)x +(-15)=0

=>x² - 15=0

I hopes its helps u

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@Abhi.❤❤

Answer 2

Step-by-step explanation:

Let us take

Alpha as 'a'

Beta as 'b'

Let a,b be the zeroes of the quadratic polynomial

:. p(x) = x^2-(a+b)x+ab

here, a= √15

b= -√15

a+b= √15+(-√15)

= √ 15-√15

= 0

ab= -15

p(x) = x2-15