if one of the zeros of cubic polynomial x cube +axsquare +bx +c is -1 then find the product of the other two zeroe
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Answer:
Step-by-step explanation:
Given equation is x³+ax²+bx+c
Let the roots be p,q,r
One of the roots is p= -1
Sum of the roots→p+q+r = -a
⇒q+r=1-a
Now, pq+qr+rp=b
⇒ -q+qr-r=b ⇒ -(q+r)+qr=b ⇒ qr=b+q+r ⇒qr=b+1-a
(Using the relation q+r solved above)
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