 |
|---|
SELECT PAGE NO.
No Books/Pages Are Available |
SELECT PROBLEM NO. FOR THE PAGE |
| PAGE: 140 | SET: Exercises | PROBLEM: 60 |
Identify Possible Rational Zeros:
It is not practical to test all possible zeros of a polynomial function using only synthetic substitution.
The Rational Zero Theorem can be used for finding the some possible zeros to test.
The function is 
.
Because the leading coefficient is 
, the possible rational zeros are the intezer factors of the constant term 
.
Therefore the possible rational zeros of 
are 
.
The function is 
.
Perform the synthetic substitution method by testing and 
.
Since 
, conclude that 
is a zero of .
Therefore, 
is a rational zero.
The depressed polynomial is 
.
Consider 
.
Perform the synthetic substitution method on the depressed polynomial by testing 
and 
.
Since 
, conclude that is a zero of 
.
Therefore, 
is a rational zero.
The remaining factor is 
.
Therefore 
is a rational zero.
Therefore the factored form of qudratic expression is 
.
The zeros of the are 
.
By using Factor theorem,
When 
then 
is a factor of polynomial.
Factoring of 
.
Zeros are .
The possible rational zeros are 
.
The zeros of are 
.
|
"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
  
|