Question

1.
A)x^2+3x+2
B)x^2+5x+4
C)x^2+7x+12
D)x^2+8x+7
E) x^2+6x+8
F)x^2+8x+15
G) x^2+9x+14
H)x^2+10x+21
I)x^2+6x+5

Answer 1

Explicație pas cu pas:

A ) x² + 3x + 2 =

= x² + 2x + x + 2

= x( x + 2 ) + x + 2

= ( x + 2 )( x + 1 )

B ) x² + 5x + 4 =

= x² + 4x + x + 4

= x( x + 4 ) + x + 4

= ( x + 4 )( x + 1 )

C ) x² + 7x + 12 =

= x² + 4x + 3x + 12

= x( x + 4 ) + 3( x + 4 )

= ( x + 4 )( x + 3 )

D ) x² + 8x + 7 =

= x² + 7x + x + 7

= x( x + 7 ) + x + 7

= ( x + 7 )( x + 1 )

E ) x² + 6x + 8 =

= x² + 4x + 2x + 8

= x( x + 4 ) + 2( x + 4 )

= ( x + 4 )( x + 2 )

F ) x² + 8x + 15 =

= x² + 5x + 3x + 15

= x( x + 5 ) + 3( x + 5 )

= ( x + 5 )( x + 3 )

G ) x² + 9x + 14 =

= x² + 7x + 2x + 14

= x( x + 7 ) + 2( x + 7 )

= ( x + 7 )( x + 2 )

H ) x² + 10x + 21 =

= x² + 7x + 3x + 21

= x( x + 7 ) + 3( x + 7 )

= ( x + 7 )( x + 3 )

I ) x² + 6x + 5 =

= x² + 5x + x + 5

= x( x + 5 ) + x + 5

= ( x + 5 )( x + 1 )