Math, asked by sanjeet83, 1 year ago

if 2 and minus one by three are the zeros of polynomial 3 x cube minus 2 x square - 7 x minus 2 find the third zero of polynomial

Answers

Answered by sumikumar1714
6

we need to use coefficient properties for solving this problem easily

3x^3-2x^2-7x-2

sum of roots=b=2/3

2,-1/3+a=2/3

a=2/3+1/3-2

a=1-2

a=-1


sanjeet83: I can't understand
sumikumar1714: i will help u
sumikumar1714: there are few properties
sumikumar1714: i will send u an equation with which u can understand
sanjeet83: please solve it by full descriptive process
sumikumar1714: x^3-x^ 2(α+β+γ)+x(α β+ β γ+ γ α)- α β γ=0
sumikumar1714: here three α, β, γ are the roots of the equation
sumikumar1714: if u have coefficient of x^3 u need to divide it on both sides
sumikumar1714: so thats the reason i have divided 3 in the above problem
sumikumar1714: if u understand pls mark as brainliest, if u dont ask me again
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