Panginoong Diyos , ang aking sandigan . Nagdarasal ako - Iyong patnubayan , Bigyan ang isipan nitong karunungan , Upang magamit ku sa kinabukasan . Sa ngalan ng Ama, Anak at ng Diyos Espiritu Santo, Amen
GRAXHA ORDEVEZA
MATH 7 Q-4
MOTIVATION
ADDITION OF POLYNOMIALS
OBJECTIVES : Adding polynomials using tiles. Solve problems involving addition of polynomials.
“Let x be circle, and y be a triangle” 2 x + 3 y + 4 x
= 6 x + 3 y
→ Stands for (+1) → Stands for (-1) → Stands for (+x) → Stands for (-x) → Stands for (+ x 2 ) → Stands for (- x 2 ) Can you represent the following quantities using the above tiles? Familiarize yourself with the tiles below
X – 2 4x + 1 SOLUTION: 1. To represent x – 2, we get one (+x) tile and two (-1) tiles. = - 2. To represent 4x = 1, we get four (=x) tiles and one (+1) tile. = +
Example: 3 x and 5 x −8 y 2 +7 z and 12 y 2 −4 z −5 a 2 +2 b 5 +4 c and 7 a 2 +2 b 5
(4x +3x=7x)
Solution: 4x + 3x 7x
( x ¿¿ 3+2)+(5 x 3 +5) ¿
Solution: x 3 +2 + 5 x 3 +5 6 x 3 +7
What about if the term is not the same? 5 xy 2 +4 z 2 ”
Solution: 5xy+4z
1. What is the sum of 3 x 2 −11 x +12∧18 x 2 +20 x −100
Solution: 3 x 2 −11 x +12 + 18 x 2 +20 x −100 _______________ 21 x 2 +9 x −88
3x + 10x 10xy + 2xy 2x + 4y + 3y 2ab + 2ac 6a + 2 a 2 +6a + 2 a 2 Get your notebook and answer the following problem on the screen
Solution: They both have x as the variable. They both have y and z as the variables and the exponent is 2. They have the same term like variables a ∧ b . Having the same exponent of 2 and 5.
Direction: In a piece of paper. Understand and analyze the given problem a. Add the following polynomial/s. 1. 3 x 2 +4 x 2 2. −5 x 2 +9 and 3 x 2 +3 3. −8 a 3 +2 b 2 +7 c and 6 a 3 −4 c b.What is 12 x 3 −5 x 2 +3 x +4 more than 9 x 3 +3 x 2 −6 x −2 ?
Assignment ASSIGNMENT Subtract the given polynomial/s. 1. What is 15 x 3 +3 x +4 less than 9 x 3 −7 x −8 ?