8. What are the roots of the function $$ f(x)=(x-2)(x+3) $$ ? $$ x=-2 $$ or $$ x=3 $$ $$ x=2 $$ or $$ x=-3 $$ There are no real roots $$ x=2 $$ or $$ x=3 $$

Question

UpStudy AI · Accepted Answer

1. The function is given by:
   $$
   f(x) = (x-2)(x+3)
   $$

2. To find the roots, we set the function equal to zero:
   $$
   (x-2)(x+3)=0
   $$

3. By applying the zero product property, if the product equals zero then at least one factor must be zero.

4. Set each factor to zero:
   $$
   x - 2 = 0 \quad \text{or} \quad x + 3 = 0
   $$

5. Solve for $$ x $$ in each equation:
   $$
   x - 2 = 0 \implies x = 2
   $$
   $$
   x + 3 = 0 \implies x = -3
   $$

6. Therefore, the roots of the function are:
   $$
   x = 2 \quad \text{or} \quad x = -3
   $$
The roots of the function are $$ x = 2 $$ or $$ x = -3 $$.

What are the roots of the function
?
or
or
There are no real roots
or

Solución de inteligencia artificial de Upstudy

Responder

Solución

Bonus Knowledge

preguntas relacionadas

Latest Algebra Questions

What are the roots of the function ? or or There are no real roots or