Factorise X2 3x means to rewrite the expression into a product of two factors. The answer is: X(2x + 3). If the question is "What is the factorisation of X2 3x?", then the answer is: X(2x + 3).
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Questions and Answers:
1. Factorise 3x²-27x completely
Jawab:
[tex]\displaystyle 3x^2-27x=3x^2-3x\cdot 9\\3x^2-27x=3x(x-9)[/tex]
Beberapa konsep yang dipakai:
2. Factorise x^3-2x^2-x+2
Jawaban:
[tex]x {}^{2} - 2x {}^{2} - x + 2 = (- 2x {}^{2} - x {}^{2}) + ( - x + 2 ) \\ = x {}^{2} + x[/tex]
3. a) factorise 3x³ + 48x + 189 completely.
3x³ + 48x + 189
= 3(x³ + 16x + 63)
3x² + 48x +189
= 3(x² + 16x +63)
= 3(x² + 7x + 9x + 63)
= 3(x + 7)(x + 9)
= (3x + 21)(x + 9)
4. Factorise the following 2A²+5A+2
[tex]5 \frac{8 = \times \frac{8 }{?4 }{7} log( log( { {6 \frac{ |6| }{2} }^{2} \times \frac{8}{1} }^{2} \times \frac{5}{8} ) ) [/tex]
5. Factorise 8x^2-14x-3
jawaban dan cara ada di atas, maaf kalau salah
6. factorise! a. 6abc - 9bcd+ 12 bcb. (x+3y) a - (x+3y)b
Jawab:
a. 3bc.(2a-3d+4)
b. (x+3y).(a-b)
Penjelasan dengan langkah-langkah:
7. Factorise each of the following expressions completely. a. [tex]x^{2}[/tex] + X - 20
Jawaban:
(x+5)×(x-4)Penjelasan dengan langkah-langkah:
X^2+x-20
X^2+5x-4x-20
X(x+5)-4(x+5)
=(x+5)(x-4)
mksih
-rfa
8. factorise each of the following expression. 2x² + 3x + 1
Penjelasan dengan langkah-langkah:
[tex]2 {x}^{2} + 3x + 1 \\ = (2x + 1)(x + 1)[/tex]
9. Faktorkan : 4x - 8Factorise :A. 2 (4x-4)B. 2 (4x-8)C. 4(x-2)D. 4 (x-8)
Jawaban:
C . 4(x-2)
Penjelasan dengan langkah-langkah:
4x-8
4(x-2)
semoga membantu
10. Factorise x²+5x-24=
Jawab:
HP = {-8,3)
Penjelasan dengan langkah-langkah:
Diketahui x²+5x-24=0 merupakan persamaan kuadrat dengan nilai masing masing variabelnya adalah a=1, b=5, c=-24. Maka dapat di selesaikan dengan langkah berikut.
[tex]\frac{-b\±\sqrt{b^2-4ac}}{2a}\\\\\frac{-(5)\±\sqrt{(5)^2-4(1)(-24)}}{2(1)}\\\\\frac{-5\±\sqrt{25+96}}{2}\\\\\frac{-5\±\sqrt{121}}{2}\\\\\frac{-5\±{11}}{2}\\\\x_1=\frac{-5+{11}}{2}\\\\x_1=\frac{6}{2}\\\\x_1=3\\\\x_2=\frac{-5\±{11}}{2}\\\\x_2=\frac{-5-{11}}{2}\\\\x_2=\frac{-16}{2}\\\\x_2=-8\\\\HP=\{-8,3\}[/tex]
Semoga Membantu!
11. 2. copy and complete a. x2 - 6x + 8 = (x - 2) (x - △) b. x2 - 8x + 15 + (x - 3) (x - △) 3. factorise a. x2 + 10x - 11 = (x + ☐) (x - △) b. x2 + 4x - 21 = (x + ☐) (x - △) 4. factorise a. x2 + 9x - 22 b. x2 + 4x - 12
Answers:
2. copy and complete
a. x² - 6x + 8 = (x - 2) (x - 4)
b. x² - 8x + 15 + (x - 3) (x - 5)
3. factorise
a. x² + 10x - 11 = (x + 11) (x - 1)
b. x² + 4x - 21 = (x + 7) (x - 3)
4. factorise
a. x² + 9x - 22 = (x + 11) (x - 2)
b. x² + 4x - 12 = (x + 6) (x - 2)
ㅤㅤ
☂ ÄRG04
12. factorise: 81 - 180p + 100p^2
100p² - 180p + 81
= (10x - 9)²
13. Factorise 18x² – 24x.
Jawab:
[tex]\displaystyle 18x^2-24x=6x\cdot3x-6x\cdot4\\18x^2-24x=6x(3x-4)[/tex]
Beberapa konsep yang dipakai:
[tex]\triangleright~ab\pm ac=a(b\pm c)[/tex]
14. Factorise x2 - 4x - 45
X2-4x-45=(X-9)(x+5)
Pertamanya cari aja dulu faktor dari 45, udah gitu baru deh berapa angka yg dikali menciptakan angka -45, kalo ditambah -4.x² - 4x - 45
a = 1
b = -4
c = -45
b = -4 → 5 - 9
ac = -45 → 5 . -9
Faktor dari
x² - 4x - 45 → (x + 5)(x - 9)
Semoga berguna +_+
15. factorise –25y – 35 factorise 8ax + 12a – 4az
Jawaban:
Below
Penjelasan dengan langkah-langkah:
GCD of 1st number: -5
Thus: -25y - 35 = -5(5y + 7)
GCD of 2nd number: 4a
Thus: 4a(2x + 3 - z)
16. factorise 12x – 9 factorise 27b – 36by
Jawaban:
Below
Penjelasan dengan langkah-langkah:
GCD of 12x - 9: 3
So 12x - 9 = 3(4x - 3)
GCD of 27b - 36by is 9b
So 27b - 36by = 9b(3 - 4y)
17. Factorise ➡️ y^3-y^2-17y-15
Jawaban dan grafik ada di lampiran
#Smogamembantu
#Backtoschool➡️ y^3-y^2-17y-15
= (y + 1)(y + 3)(y - 5)
18. factorise 2ab – 8a²
Jawaban:
2a(b-4a)
Penjelasan:
2ab-8a²
2a(b-4a)
19. factorise 4x – 12x2
Penjelasan dengan langkah-langkah:
4x - 12x²
= 4x × (1 - 3x)
[tex]{\boxed{\boxed{\boxed{\orange{KRISHNA}}}}}[/tex]20. Faktorkan selengkapnya Factorise completely x2 – 3x - 10
Jawaban:
[tex](x - 5)(x + 2)[/tex]
Penjelasan dengan langkah-langkah:
[tex] {x}^{2} - 3x - 10 = \\ {x}^{2} + ( - 5 + 2)x + ( - 5.2) = \\ (x - 5)(x + 2)[/tex]
