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AlgebraicBy : Group 5

1.M.Hapiz Yulia S.(110210151006)2.Bernadeta Patria W.(110210151017)3.Siti Sofiyah(110210151003)

Subtopic

• Simple definition of algebra• Change the statement of algebra into algebraic

form• Homogenous term• Coeffisien and constant of algebraic form • Multiplication / square of algebraic form• Some relation in Math trick

Simple definition of algebraAlgebra is language of symbol and relation. Algebra is used to solve the problem in daily life by using symbol, from relation that appear, problems will solver more simple.

Eg :

I have wood with the length is 30cm and I cut it x cm.So, the math statement is “30 – x”.

Some time agebraic form also can be used in solving a linear equation system.

Eg :

Mr. Budi has 3 cows and all cows can produce 4,5 liters of milk. So, how many liters of milk can produce by each cow?

Make the math statement here we should make a symbolitation of cow become variable x 3 x = 4,5 -> 1/3 . 3 x = 4,5 . 1/3 -> x = 1,5

So 1 cow can produce 1,5 liters of milk

Homogenous term

The term can be said as homogenous term if the term have same variable and with the same order also.Eg : p , 3p , 6p -> Ht

6x2 , 3x2 -> Ht6x , 7y , x2 -> NHt

• The Addition and subtraction only able to do in the homogenous term.

Eg :2x + 3x = 5x6a2 – 3a + 12a + 9 = 6a2 + 9a + 9b2 + 2ab – 3b2 + 5ab = -2 b2 + 7ab

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Coeffisien and constant of algebraic form

Coeffisien and Constant 3a4 + 6a3 + 5a2 + 7a + 8

Example : Determine the coefficien and constant of 9x2 -3x + 1

3 6 5 7constant

coefficient

(𝑥+2 )(𝑥−3)❑=𝑥2+2 𝑥−3𝑥−6¿ 𝑥2−𝑥−6

Multiplication / square of algebra form

EXAMPLE 1

EXAMPLE 2