 |
|---|
| PAGE: 395 | SET: Exercises | PROBLEM: 44 |
The function is 
.
If 
is a rational zero, then 
is a factor of 
and 
is a factor of 
.
Here, 
and 
.
Write the possible value of in simplest form.
and 
.
Make a table and test some possible rational zeroes:
|
 |
|
 |
 |
 |
 |
 |
 |
 |
 |
 |
The depressed polynomial is 
.
|
 |
 |
 |
 |
 |
 |
 |
|
The depressed polynomial is 
.
|
 |
 |
 |
 |
 |
|
 |
 |
Observe the table:
Since 
, there is a zero at 
.
The depressed polynomial is 
.
The quadratic function is 
.
(Quadratic formula)
(Substitute 
and 
)
(Simplify)
(Add and simplify)
and 
(Separate two roots)
and 
(Simplify)
There is five real roots are 
, 
, 
, 
and .
The zeroes of the function are 
and .
|
"I want to tell you that our students did well on the math exam and showed a marked improvement that, in my estimation, reflected the professional development the faculty received from you. THANK YOU!!!" June Barnett |
|
"Your site is amazing! It helped me get through Algebra." Charles |
|
"My daughter uses it to supplement her Algebra 1 school work. She finds it very helpful." Dan Pease |
Simply chose a support option
  
|