Page 95 - ADVANCED MATH F.5

Form Five Form Five

p ()x = a x + n n a x n− 1 + a n− 2 x n− 2 + + ax a+ 1 0 where
n−
1
,
aa n− 1 , a n− 2 , a 1 , and a are real numbers and n is a natural
0
n
number. Instruct students to discuss the name of the polynomial
when;
FOR ONLINE READING ONLY
1
(i) n = (linear)
(ii) n = (quadratic)
2
(iii) n = (cubic)
3
(iv) n = (quartic)
4
5
(v) n = (quintic)
2. Guide students through jigsaw to discuss roots of polynomials.
Devise strategies for assisting students in brainstorming on the
concept of roots or zeros of a polynomial function.
3. Use Example 5.13 in the Student’s Book to guide students
to find roots of polynomial functions. Prepare an activity
which will engage students in performing more examples on
finding roots of polynomial functions from other resources as
suggested.
4. Guide students to discuss the relationships between roots of a
quadratic equation and its coefficients. Use Examples 5.14 to
5.16 in the Student’s Book to guide students to find the sum
and product of roots and to formulate a quadratic equation
when the roots are given.

5. Guide students to discuss the relationships between roots of a
cubic equation and its roots. Use Examples 5.17 and 5.18 in
the Student’s Book to assist students in finding the roots of a
cubic equation, when the roots are given.
6. Require students to attempt Exercise 5.3 in the Student’s Book.
Advise students to submit their work, check the correctness of
their answers, and provide them constructive feedback.

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Mathematics for Advanced Secondary Schools

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ADVANCED MATH F.5 TG CHAPTERS.indd 89
ADVANCED MATH F.5 TG CHAPTERS.indd 89 30/06/2024 18:02:19