Question

Find the zero of the polynomial
g(x)= x^2 +2x+ 1

Answer 1

Answer:

g(x)=x²+2x+1

=x²+x+x+1

=x(x+1)+1(x+1)

=(x+1)(x+1)=(x+1)²

Answer 2

AnSwEr-

◆TO FIND:

The zeros of $x^2+2x+1$

◆SOLUTION:

Since g(x) is quadratic polynomial, it will have 2 zeros as the degree of g(x) is 2.

Now, we can find the zeros of this polynomial by splitting the middle term-

So,

$x^2+2x+1\\=x^2+x+x+1\\=x(x+1)+1(x+1)\\=(x+1)(x+1)$

So, x = -1,-1

Hence, the zeros of the polynomial g(x) = -1,-1

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