Page 14 - POLINOMIAL

03. Tentukanlah bentuk sederhana dari (x – 3) (x + 1) – (x – 3)(x – 3x +2)
2
2
Jawab
2
2
(x – 3) (x + 1) – (x – 3)(x – 3x + 2)
2
2
= (x – 6x + 9)(x + 1) – (x – 3)(x – 3x + 2)
2
3
2
2
= [x + x – 6x – 6x + 9x + 9] – [x – 3x + 2x – 3x +9x – 6]
2
3
3
= [x – 5x + 3x + 9] – [x – 6x + 11x – 6]
3
2
2
2
3
2
3
= x – 5x + 3x + 9 – x + 6x – 11x + 6
2
= x – 8x + 15

10 +4
04. Jika = + , tentukanlah nilai a dan b
2
− −2 −2 +1
10 +4 ( +1)+ ( −2)
Jawab =
2
2
− −2 − −2
10x + 4 = ax + a = bx – 2b
10x + 4 = (a+b)x + a – 2b
Maka a + b =10
a – 2b = 4 -
3b= 6 b = 2
a + 2= 10 a=8

Polinomial