Answer:
c
Step-by-step explanation:
Given
[tex]\frac{x^2+5x+6}{x+2}[/tex]
Factor the numerator
x² + 5x + 6 = (x + 2)(x + 3) , thus
= [tex]\frac{(x+2)(x+3)}{x+2}[/tex]
Cancel the factor (x + 2) on the numerator and denominator, leaving
= x+ 3 → c
Answer:
C. x+3
Step-by-step explanation:
Simplifying
x²++5x+6/x+2
Firstly we need to factorize the numerator to have;
x²+5x+6
x²+3x+2x+6
(x²+3x)+(2x+6)
x(x+3)+2(x+3)
x+2(x+3)
The equation will now become;
(x+2)(x+3)/x+2
= x+2 will cancel out x+2 to have x+3 left which is the required function
