Question

Form a quadratic polynomial whose zero is 2√5 and the product of zeroes is -18

Answer 1

Answer:

√5xsquare-x-18

Step-by-step explanation:

let alpha,beta are the zero of the quadratic polynomial

$xsquare - ( \alpha + \beta ) x+ \alpha \beta$

first u have to find sum of the roots

alpha=2√5,we have to find another zero for the polnomial so, aplha×beta=-18

substitute alpha value here then we can find beta

2√5×beta=-18

√5×beta=-9

beta=-9/√5

sum of the zero s we have to find

alpha+beta=2√5+(-9/√5)

do lcm the result is 10-9/√5=1/√5

substutute sum of the zeros and product of the zero inthe above formula

finally u will get the ans

xsquare-(1/√5)-18(here do lcm)

√5xsquare-x-18

HOPE THIS ANSWER WILL HELP U

Thank u