Question

Equivalent Express SIC

Which expression has an equivalent value to x² + 9x + 8 for all values of x?
a (x + 1)(x + 8)
b (x + 2)(x + 6)
c (x + 4)(x + 4)
d (x + 5)(x + 4)

Answer 1

A. ( x + 1 )( x + 8 )

Explanation:

x² + 9x + 8

1.Break the expression into groups

= ( x² + x ) + ( 8x + 8 )

2. Factor out x from x² + x : x ( x + 1 )

3. Factor out 8 from 8x + 8 : 8 ( x + 1 )

= x ( x + 1 ) + 8 ( x + 1 )

4. Factor out common term x + 1

= ( x + 1 )( x + 8 )

Solution :

= ( x + 1 )( x + 8 )