Question

Write zeros of the polynomial x2 + 2x + 1

Answer 1

=x²+2x+1
=x²+x+x+1
=x(x+1)+1(x+1)
=(x+1)(x+1)
x+1=0
⇒x= -1
∴zeroes of this polynomial are -1 and -1

Answer 2

Answer:

The value x of the given polynomial $x^2+2x+1$ are -1 and -1.

Solution:

Given polynomial is expressed as

$x^2+2x+1$

Factorizing the term $x^2+2x+1$

we get,  

$\begin{array} { c } { x ^ { 2 } + 2 x + 1 = 0 } \\\\ { x ^ { 2 } + x + x + 1 = 0 } \\\\ { x ( x + 1 ) + 1 ( x + 1 ) = 0 } \\\\ { ( x + 1 ) ( x + 1 ) = 0 } \\\\ { x = - 1 \text { and } x = - 1 } \end{array}$

∴ The zeroes of $x^2+2x+1$ are -1 and -1.