MATH Polynomial Equations Reviewer and Lesson.pdf

Math Reviewer

1. Polynomial Equations
(Review)

2. Polynomial Terminology:
Term
Degree of polynomial
Leading Term
Leading Coefficient

3. Exercise Set A: Terminology
Identify the degree of the polynomial, leading
term, and the leading coefficient.

4. Synthetic Division
SyntheticDivisionisasimplifiedmethodfordividing
apolynomialbyalinearbinomialoftheformx−c.
1.ALWAYSwritethepolynomialindescendingorderof
exponents.
2.Inserta0foranymissingdegree(verycommonmistake).
3.Makesuresignsarehandledproperly(e.g.,x+2meansc=−2).

5. Exercise Set B: Synthetic Division
(??????
3
+4??????
2
−??????+2)÷(??????−1)

6. Exercise Set B: Synthetic Division
(??????
4
+2??????
2
+1)÷(??????+2)

7. Exercise Set B: Synthetic Division
(3??????
5
−??????
2
+6??????)÷(??????−2)

8. Remainder and Factor Theorem
Iff(c)=0,then(x-c)isafactor.
Iff(c)=0,thencisaroot.

9. Exercise Set C: Solving Polynomial Equations
??????
3
−7??????
2
+14??????−8=0;??????=1

10. Exercise Set C: Solving Polynomial Equations
??????
4
−5??????
2
+4=0;??????=1

11. •Complete your unfinished homework and activity
on Cerebry.
•Review the results of your formative assessments
and prepare to share your questions in class.

12. •Homework 1:Answer 6 problems in Exercise 1.3 Written Math on pages 30-31 of your Mathematics
book. Choose one problem from each part (A to F).
•Homework 2: Answer any 3 problems from Exercise 1.6 (p. 53) and 3 problems from Exercise 1.7 (p. 56)
of your Mathematics book.
•Homework 3: Answer one problemeach from Written Math A, Written Math B, and Math Challenge of
Exercise 2.1 of your Mathematics Book.
•Homework 4:Answer at least 1 problem from part A and B of Exercise 2.2 > Mental Math on pages 80-81
of your Mathematics book.
•Homework 5:Answer item numbers 28, 48,65, &76 from Exercise 2.4 Written Math (p. 108-110) of your
Mathematics book.
•Homework 6:Complete the capable level of Exercises 6.1 to 6.3 on Cerebry>MILE-10L > Polynomial
Equation.
•Homework 7:Complete capable level of Exercise 7.1 on Cerebry>MILE-10L > Polynomial Functions.