Question

Faktorkanlah (Tolong pake caranya ya...)
A) (x pangkat 2) +7x+12=
B) (x pangkat 2) +6x+5=
C) (x pangkat 2) -6x+9=
D) (a pangkat 2) +14a+24=
E) (p pangkat 2) -11pq+ 30(q pangkat 2)=
F) (x pangkat 2) -14xy+ 45(y pangkat 2)=
G) (x pangkat 2) +10xy+16(y pangkat 2)=
H) 72 - 17x + (x pangkat 2)=

Answer 1

Jawab
a. faktornya (x+4) (x+3) = x pgkt 2 + 3x + 4x + 12 = x pgkt 2 + 7x + 12
b. faktornya (x+5) (x+1)
c. faktornya (x-3) (x-3) = x pgkt 2 -3x -3x + 9 = x pgkt 2 -6x + 9
d. faktornya (a+12) (a+2)
e. faktornya (p-6q) (p-5q)
f. (x-9y) (x-5y)
g. (x+8y) (x+2y)
h. (x-9) (x - 8)

Answer 2

1. x^2 + 7x + 12
= x^2 + 3x + 4x + 12
= x(x + 3) + 4(x + 3)
= (x + 4)(x + 3)

2. x^2 + 6x + 5
= x^2 + 5x + x + 5
=x(x + 5) + 1(x + 5)
= (x + 1)(x + 5)

3. x^2 - 6x + 9
= x^2 - 3x - 3x + 9
= x(x - 3) - 3(x - 3(
= (x - 3)(x - 3)

4. a^2 + 14a + 24
= a^2 + 12a + 2a + 24
= a(a + 12) + 2a(a + 12)
= (a + 2)(a + 12)

5. p^2 -11pq + 30q^2
= p^2 - 6pq - 5pq + 30q^2
= p(p - 6q) - 5q(p - 6q)
= (p - 5q)(p - 6q)

6. x^2 - 14xy + 45y^2
= x^2 - 9xy - 5xy + 45y2
= x(x - 9y) - 5y(x - 9y)
= (x - 5y)(x - 9y)

7. x^2 + 10xy + 16y^2
= x^2 + 8xy + 2xy + 16y^2
= x(x + 8y)+ 2y(x + 8y)
= (x + 2y)(x + 8y)

8. 72 - 17x + x^2
= 72 - 8x - 9x + x^2
= 8(9 - x) - x(9 - x)
= (8 - x)(9 - x)