Question

A quadratic polynomial whose Zeroes are 2 and -3/2 is​

Answer 1

Answer:

2x^2-x-6=0

Step-by-step explanation:

we have given with two zeroes let name them alpha and  beta

alpha=2

beta=-3/2

firstly we have to find

alpha+beta and,

alpha X beta

so,

alpha+beta=2+(-3/2)=1/2

alphaxbeta= 2x(-3/2)=-3

so we know a quad poly is in the form of

x^2-(alpha+beta)x+alphaxbeta =0

now just put values and,

x^2-1/2x-3=0

or simplify it further we get

2x^2-x-6=0..............is the final ans

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