SELECT PAGE NO.
No Books/Pages Are Available |
SELECT PROBLEM NO. FOR THE PAGE |
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 |