1.

If alpha beta are the zeros of the polynomial X square + 2 X + 1 then find the value of alpha + beta

Answer»

Answer:

-2

Step-by-step explanation:

Hii MATE,

we have to find here the sum of zeroes of given EQUATION.

Shortcut method:

general FORM of a quadratic polynomial

x²-(sum of zeroes)X+(product of zeroes)=0

comparing it with given equation x²+2x+1=0 => x²-(-2)x+1=0, we get

Sum of zeroes= -2

General method:

given equation,

x²+2x+1=0

=>x²+x+x+1=0

=>x(x+1)+1(x+1)=0

=>(x+1)(x+1)=0

=>(x+1)=0 or (x+1)=0

=>x=α= -1 and x=β= -1

so, α+β=(-1)+(-1)=-1-1= -2

HOPE IT HELPS,

PLEASE THANK , FOLLOW AND MARK AS BRAINLIEST.


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