Question

factorize x2+5x+1Nees help

Answer 1

x² + 5x + 1

= x² + 5x + (5/2)² -(5/2)² + 1

= x² + 2.(5/2)x + (5/2)² + { 1 - (5/2)²}

[ here , use formula a² +2ab + b² = (a + b)²]

=( x + 5/2)² - (√21/2)²

[use, a² - b² = (a -b )(a + b) ]

= (x + 5/2 - √21/2)(x + 5/2 + √21/2)

hence, (x + 5/2 -√21/2) and (x + 5/2 +√21/2) are the factors of x² + 5x +1

Answer 2

I have factorized it by quadratic formula because you didn't specify the method .
hope it help you