Question

Simplify quantity x squared plus 5 x plus 4 end quantity over quantity x plus 4

Answer 1

Answer:

x + 1

Step-by-step explanation:

$\dfrac{x^2+5x+4}{x+4}\\\\x^2+5x+4=x^2+x+4x+4=x(x+1)+4(x+1)=(x+1)(x+4)\\\\=\dfrac{(x+1)(x+4)}{x+4}\qquad\text{cancel}\ (x+4)\\\\=x+1$

Answer 2

Answer:

  x + 1

Step-by-step explanation:

$\dfrac{x^2+5x+4}{x+4}=\dfrac{(x+4)(x+1)}{(x+4)}=x+1$