ALGEBRA 2, 2012
44

 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 .

(Substitute and )

(Simplify)

and                       (Separate two roots)

and                           (Simplify)

There is five real roots are , , , and .

The zeroes of the function are  and .

TESTIMONIALS
 "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
 Tweets by @mathskeydotcom

QUESTIONS? LET US HELP.