Question

x^2 + (a+1/a)x + 1 factorise this polynomial by using any method.

Answer 1

Answer:

( x + a )( x + 1/a )

Step-by-step explanation:

x² + ( a + 1/a ) x + 1

= x² + a x + x/a + 1

= x ( x + a ) + 1/a ( x + a )

= ( x + a )( x + 1/a )

Roots

Either

x + a = 0

x = - a

Or

x + 1/a = 0

x = - 1/a

Answer 2

x² + ( a + 1/a ) x + 1

= x² + a x + x/a + 1

= x ( x + a ) + 1/a ( x + a )

= ( x + a )( x + 1/a )

Roots

Either

x + a = 0
x = - a

Or

x + 1/a = 0
x = - 1/a

hope u understand ❤️