Question

Please help me !!!

Answer 1

11. $c^{2} -c-6\\(c-3)(c+2)$
c = 3 and c = -2

12. $x^{2} +19x+78\\(x+6)(x+3)$
x = -6 and x = -3

13. $m^{2} -6mn-27 n^{2} \\ (m-9n)(m+3n)$ 
m = 9n and m = -3n
$n= \frac{-m}{9}$ and $n= \frac{m}{3}$

14. $x^{3} +16 x^{2} +64x\\ (x)(x+8)(x+8)$
x = 0 and x = -8

15. $3 x^{3} -9 x^{2} -30x\\ (3x)(x+2)(x-5)$
x = 0, x = -2, and x = 5

16. $4a^{2}+4ab-80b^{2} \\ 4(a+5b)(a-4b)$
a = -5b and a = 4b
$b= \frac{-a}{5}$ and $b= \frac{a}{4}$

Answer 2

$11)~c^2-c-6=(c+2)(c-3)\\\\ 12)~x^2+19x+78=(x+6)(x+13)\\\\ 13)~m^2-6mn-27n^2=(m+3n)(m-9n)\\\\ 14)~x^3+16x^2+64x=x(x^2+16x+64)=x(x+8)^2\\\\ 15)~3x^3-9x^2-30x=3x(x^2-3x-10)=3x(x+2)(x-5)\\\\ 16)~4a^2+4ab-80b^2=4(a^2+ab-20b)=4(a-4b)(a+5b)$