Question

Tim x thuoc z de x²+2x+1 chia het cho x+6

 

Answer 1

\(x^2+2x+1=x^2+4x-4x+2x+1\)

\(x.\left(x+6\right)-4x+1\)

\(x.\left(x+6\right)-4x-24+25\)

\(x.\left(x+6\right)-4.\left(x+6\right)+25\)

=>25 chia hết cho x+6.

Học tốt^^

Answer 2

\(x^2+2x+1=x^2+4x-4x+2x+1\)

\(x.\left(x+6\right)-4x+1\)

\(x.\left(x+6\right)-4x-24+25\)

\(x.\left(x+6\right)-4.\left(x+6\right)+25\)

=>25 chia hết cho x+6.

Học tốt^^

Answer 3

\(x^2+2x+1=x^2+4x-4x+2x+1\)

\(x.\left(x+6\right)-4x+1\)

\(x.\left(x+6\right)-4x-24+25\)

\(x.\left(x+6\right)-4.\left(x+6\right)+25\)

=>25 chia hết cho x+6.

Học tốt^^