Algebra Presentation on Topic Modulus Function and Polynomials Created by : Helena and Rheina HS12B Performance Task Binus School Bekasi

1. Algebra
Rheina & Helena
GO!

2. Table of Contents
Overview
Algebra definition.
Polynomials
functions
Question example.
Modulus
function
Question example.

3. What is algebra?
Algebra is a branch of
mathematics dealing with
symbols and the rules for
manipulating those
symbols.

4. 01
02

5. Solve the inequality
| 3x-2 | ≥ | x+4 |
01
02
Squaring
method

6. 01
02
Solution
Squaring
method

7. 01
02

8. f(½)= 2 x ⅛ +a x ¼ + b x ½ - 6
f(½)= -5 ----> ¼ a + ½ b = ¾
f(-2)= -16 + 4a - 2b - 6
f(-2)= 0 ----> 4a -2b = 22
Eliminating one variable from 2 linear
simultaneous equations in a and b
a=5 and b=-1
A.
01
02
Solution
Table of
content
s

9. Problem:
f(x)=2x^3+ax^2+bx-6
A and B are constants.
When f(x) is divided by (2x-1) the remainder
is 5
When f(x) is divided by (x+2) there is no
remainder
a. Find the value of A and B!
b. Factorize f(x) completely!
01
02
Table of
content
s

10. 2x^3 + 5x^2 -x -6 = (x+2)(2x^2+x-3)
= (x+2)(2x+3)(x-1)
B.
01
02
Solution
Table of
content
s

11. Thank You:)