Factor the numerator and denomintor and then reduce the fraction: $\frac { x ^ { 2 } + 5 x + 6 } { 5 x + 15 }$
A) $\frac { x + 2 } { 5 }$
B) $\frac { x ^ { 2 } + 6 } { 15 }$
C) $\frac { x } { 9 }$
D) $\frac { x } { 3 }$

Question

Quizplus · Accepted Answer

First, we can factor the numerator:

$$x^2 + 5x + 6 = (x+2)(x+3)$$

Then, we can factor the denominator:

$$5x + 15 = 5(x+3)$$

Now we can simplify the fraction:

$$\frac{x^2+5x+6}{5x+15} = \frac{(x+2)(x+3)}{5(x+3)} = \frac{x+2}{5}$$

Therefore, the correct answer is choice A.

Factor the Numerator and Denomintor and Then Reduce the Fraction x2+5x+65x+15\frac { x ^ { 2 } + 5 x + 6 } { 5 x + 15 }5x+15x2+5x+6​

Factor the Numerator and Denomintor and Then Reduce the Fraction $\frac { x ^ { 2 } + 5 x + 6 } { 5 x + 15 }$