Respuesta :
[tex]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)[/tex]
11. [tex] c^{2} -c-6\\(c-3)(c+2)[/tex]
c = 3 and c = -2
12. [tex] x^{2} +19x+78\\(x+6)(x+3)[/tex]
x = -6 and x = -3
13. [tex]m^{2} -6mn-27 n^{2} \\ (m-9n)(m+3n)[/tex]
m = 9n and m = -3n
[tex]n= \frac{-m}{9} [/tex] and [tex]n= \frac{m}{3} [/tex]
14. [tex] x^{3} +16 x^{2} +64x\\ (x)(x+8)(x+8)[/tex]
x = 0 and x = -8
15. [tex]3 x^{3} -9 x^{2} -30x\\ (3x)(x+2)(x-5)[/tex]
x = 0, x = -2, and x = 5
16. [tex]4a^{2}+4ab-80b^{2} \\ 4(a+5b)(a-4b)[/tex]
a = -5b and a = 4b
[tex] b= \frac{-a}{5} [/tex] and [tex]b= \frac{a}{4} [/tex]
c = 3 and c = -2
12. [tex] x^{2} +19x+78\\(x+6)(x+3)[/tex]
x = -6 and x = -3
13. [tex]m^{2} -6mn-27 n^{2} \\ (m-9n)(m+3n)[/tex]
m = 9n and m = -3n
[tex]n= \frac{-m}{9} [/tex] and [tex]n= \frac{m}{3} [/tex]
14. [tex] x^{3} +16 x^{2} +64x\\ (x)(x+8)(x+8)[/tex]
x = 0 and x = -8
15. [tex]3 x^{3} -9 x^{2} -30x\\ (3x)(x+2)(x-5)[/tex]
x = 0, x = -2, and x = 5
16. [tex]4a^{2}+4ab-80b^{2} \\ 4(a+5b)(a-4b)[/tex]
a = -5b and a = 4b
[tex] b= \frac{-a}{5} [/tex] and [tex]b= \frac{a}{4} [/tex]