Question

select all the correct answers. consider this product. $\frac{x^2 - 4x - 21}{3x^2 + 6x} cdot \frac{x^2 + 8x}{x^2 + 11x + 24}$ which values are excluded values for the product? $square$ 0 $square$ -8 $square$ 7 $square$ 2 $square$ -3

Explanation:

Step1: Identify first denominator

Denominator 1: $3x^2 + 6x = 3x(x+2)$
Set to 0: $3x(x+2)=0$
Solve: $x=0$ or $x=-2$

Step2: Identify second denominator

Denominator 2: $x^2 + 11x + 24$
Factor: $(x+3)(x+8)$
Set to 0: $(x+3)(x+8)=0$
Solve: $x=-3$ or $x=-8$

Step3: Compile excluded values

Combine all solutions from denominators.

Answer:

0, -8, -3