1. Add or Subtract. Show your work

a. (-2x^2-4x+13)+(12x^2+2x-25)

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

2. Find the roots. List your steps correctly.

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

Question

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Respuesta :

kudzordzifrancis kudzordzifrancis · Answer 1 · 2019-03-31T23:24:15+02:00

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]