QUESTION 1a.
We want to add
[tex]( - 2 {x}^{2} - 4x + 13) + (12 {x}^{2} + 2x - 25)[/tex]
We group similar terms to get
[tex]- 2 {x}^{2} + 12 {x}^{2}- 4x + 2x - 25 + 13[/tex]
Simplify:
[tex]- 10{x}^{2} - 2x -12[/tex]
QUESTION 1b.
The given function is:
[tex](7x^2+4x-26)-(-7x^2-3x+15)[/tex]
Expand the parenthesis to obtain,
[tex]7x^2+4x-26 + 7x^2 + 3x - 15[/tex]
Group similar terms,
[tex]7x^2+7 {x}^{2} + 4x + 3x-26 - 15[/tex]
Simplify:
[tex]14{x}^{2} + 7x-41[/tex]
QUESTION 2
The given function is
[tex]f(n)=n^2-6n-16[/tex]
The zeros of this function is given by;
[tex]n^2-6n-16 = 0[/tex]
Split the middle term.
[tex]n^2-8n + 2n-16 = 0[/tex]
Factor;
[tex]n(n - 8) + 2(n - 8) = 0[/tex]
[tex](n - 8)(n + 2) = 0[/tex]
[tex]n - 8 = 0 \: or \: n + 2 = 0[/tex]
[tex]n = 8 \: or \: n = - 2[/tex]
