Question

find the zeroes of following polynomial and verify relation between zeroes and co efficient
5 x^{2} - 8x - 4

Answer 1

i have done this in a paper. please find the answer in my attachment..

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Answer 2

i)Let p(x) =5x^2-8x-4
To find zeroes we have make
P(x)=0
5x^2-8x-4=0
Spilt th middle term
5x^2-10x+2x-4=0
5x(x-2)+2(x-2)=0
(x-2)(5x+2)=0
x-2=0 or 5x+2=0
x=2 or x=-2/5
Therefore
Zeroes are p=2, q=-2/5
ii) compare p(x)=0 with ax^2+bx+c=0
a=5, b=-8,c=-4
iii) sum of the zeroes= -b/a=-(-8/5)=8/5
p+q=2-2/5=(10-2)/5=8/5
iii) product of the zeroes =c/a=-4/5
pq=2×(-2/5)=-4/5