Factor. $$ -x^{2}-5 x-6 $$ SUBMIT ANSWER

Question

UpStudy AI · Accepted Answer

1. Write the expression:
   
   $$
   -x^2 - 5x - 6
   $$

2. Factor out $$-1$$ from the entire expression:

$$
   -\left( x^2 + 5x + 6 \right)
   $$

3. Factor the quadratic $$ x^2 + 5x + 6 $$. We need two numbers that multiply to $$ 6 $$ and add to $$ 5 $$. The numbers $$ 2 $$ and $$ 3 $$ work because:
   
   $$
   2 \times 3 = 6 \quad \text{and} \quad 2 + 3 = 5 
   $$

4. Factor the quadratic:

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

5. Substitute back into the expression:

$$
   -x^2 - 5x - 6 = -\left( (x+2)(x+3) \right)
   $$

Final answer:

$$
-(x+2)(x+3)
$$
$$ -(x+2)(x+3) $$

Factor. \[ -x^{2}-5 x-6 \] SUBMIT ANSWER

Solución de inteligencia artificial de Upstudy

Responder

Solución

Mind Expander

preguntas relacionadas

Latest Algebra Questions