Question

Can you answer these please

Answer 1

14.
$16x^6+22x^2+30x^5 \\2x^2(8x^4+11+15x^3) \\\\GCF=2x^2 \\\\15. \\\\(7v^3-10v^2+9v^4) \\v^2(7v-10+9v^2) \\\\GCF=v^2$
16.
x² +17x + 72
(x + 9)(x + 8)
x + 9 =  0           ∧         x + 8 = 0
x = -9                 ∧         x  = -8

17.
4v² - 16v + 7

Break the expression into groups

(4v² - 2v) + (-14v + 7)

Factor out 2v from 4v² - 2v and factor out -7 from -14v + 7

2v (2v - 1) - 7 (2v - 1)

(2v - 1) (2v - 7)
2v - 1 = 0                   ∧              2v - 7 = 0
2v = 1                        ∧              2v = 7
$v = \frac{1}{2}$                ∧     $v = \frac{7}{2}$

18.
n² - 16n + 64
(n - 8) (n - 8)
n = 8     ∧   n = 8

19.
6t² - 54

Factor out the common term 6

6 (t² - 9)

Factor (t² - 9)

6 (t² - 9)
6 (t + 3) (t - 3)
t = -3 * 6              ∨            t = 3 * 6
t = -18                 ∨            t = 18

20.
y² - 121 
(y - 11) (y + 11)
y = 11                  ∧           y =  -11