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Algebraic. By : 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
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Algebraic By : 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 agebraicform 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 -> Ht 6x , 7y , x2 -> NHt
The Addition and subtraction only able to do in the homogenous term. Eg : 2x + 3x = 5x 6a2 – 3a + 12a + 9 = 6a2 + 9a + 9 b2 + 2ab – 3b2 + 5ab = -2 b2 + 7ab
Coeffisien and constant of algebraic form Coeffisien and Constant 3a4 + 6a3 + 5a2 + 7a + 8 coefficient 3 6 5 7 constant Example : Determine the coefficien and constant of 9x2 -3x + 1
Multiplication / square of algebra form EXAMPLE 1