Question

1. Add or Subtract. Show your work

Answer 1

QUESTION 1a.

We want to add

$( - 2 {x}^{2} - 4x + 13) + (12 {x}^{2} + 2x - 25)$

We group similar terms to get

$- 2 {x}^{2} + 12 {x}^{2}- 4x + 2x - 25 + 13$

Simplify:

$- 10{x}^{2} - 2x -12$

QUESTION 1b.

The given function is:

$(7x^2+4x-26)-(-7x^2-3x+15)$

Expand the parenthesis to obtain,

$7x^2+4x-26 + 7x^2 + 3x - 15$

Group similar terms,

$7x^2+7 {x}^{2} + 4x + 3x-26 - 15$

Simplify:

$14{x}^{2} + 7x-41$

QUESTION 2

The given function is

$f(n)=n^2-6n-16$

The zeros of this function is given by;

$n^2-6n-16 = 0$

Split the middle term.

$n^2-8n + 2n-16 = 0$

Factor;

$n(n - 8) + 2(n - 8) = 0$

$(n - 8)(n + 2) = 0$

$n - 8 = 0 \: or \: n + 2 = 0$

$n = 8 \: or \: n = - 2$