Nama: Shintia Friska WulandariKelas: XI IPA AkselerasiTugas: Matematika (Operasi Pada Suku Banyak)

1. f (x) = 3x4 2x3 + 5x2 4x + 3 , g(x) = 4x3 6x2 + 7x - 1Tentukan : f (x) + g(x)Jawab : f (x) + g(x) = (3x4 2x3 + 5x2 4x + 3) + (4x3 6x2 + 7x 1) = 3x4 + (-2 +4)x3 + (5-6)x2 + (-4+7)x + (3-1) = 3x4 + 2 x3 x2 + 3x + 2

2. f (x) = 3x4 2x3 + 5x2 4x + 3 , g(x) = 4x3 6x2 + 7x - 1Tentukan : f (x) - g(x)Jawab : f (x) - g(x) = (3x4 2x3 + 5x2 4x + 3) - (4x3 6x2 + 7x 1) = 3x4 + (-2 -4)x3 + (5+6)x2 + (-4-7)x + (3+1) = 3x4 - 6x3 +11x2 - 11x + 4

3. f (x) = 2x3 + 5x2 4x + 3 , g(x) = 6x2 + 7x - 1Tentukan : f (x) x g(x)Jawab : f (x) x g(x) = (2x3 + 5x2 4x + 3) x (6x2 + 7x 1) = 2x3 (6x2 + 7x 1) + 5x2 (6x2 + 7x 1) 4x (6x2 + 7x 1) + 3 (6x2 + 7x 1)= 12x5 + 14x4 2x3 + 30x4 + 35x3 5x2- 24x3 28x2 + 4x + 18x2 +21x - 3= 12x5 + 34x4 26x3 15x2 + 25x 3

http://snurrjannah.blogspot.com/2012/04/suku-banyak-matematika-xi.html

4. f(x)= x3 - 7x2 + 4x + 50 dan g(x)= (x-3) . Tentukan hasil bagi H(x) dan sisa s(x)

Jawab:

(x-3) x3 - 7x2 + 4x + 50 = x2 - 4x 8 - x3 + 3x2 - 4x2 + 4x 4x2 + 12x -8x + 50 8x 24 26

S(x)= 26H(x)= x2 - 4x 8

http://alfysta.wordpress.com/2012/02/16/penggunaan-paket-polynom-latex-pada-pembagian-fungsi-polinomial/

5. f(x)= 4x2 3x 11 dan g(x)= (x 3). Tentukan H(x) dan s(x)?

Jawab:

(x 3) 4x2 3x 11 = 4x + 9 4x2 12x 9x 11 9x 27 16

H(x) = 4x + 9s(x) = 16

http://www.slideshare.net/cholisxpa/tugas-matematika-kelas-xi-ipa-1