Question

If the zeros of the polynomial are a minus b a a + b find all the zeros

Answer 1

Answer:

Step-by-step explanation:

or,Let 'a-d','a','a+d' are the 3 zeroes of an A.P.

a-d+a+a+d=-(-15)/2=15/2

3a=15/2

or,a=5/2-----(i)

(a-d)a(a+d)=-(-30)/2

or,a(a²-d²)=15

using (i), we get

(5/2)(25/4-d²)=15

or,25/4-d²=6

or,-d²=6-25/4

or,-d²=-(25/4-6)

or,d²=25/4-6

or,d²=1/4

or,d=±1/2

The zeroes are

(5/2-½),5/2,(5/2+½)

or,2,5/2,3

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