Find Three Ordered Pair Solutions r(x)=x^2+8x+15

$r (x) = x^{2} + 8 x + 15$

Step 1

Write $r (x) = x^{2} + 8 x + 15$ as an equation.

$y = x^{2} + 8 x + 15$

Step 2

Choose any value for $x$ that is in the domain to plug into the equation.

Step 3

Choose $0$ to substitute in for $x$ to find the ordered pair.

Remove parentheses.

$y = 0^{2} + 8 (0) + 15$

Remove parentheses.

$y = {(0)}^{2} + 8 (0) + 15$

Simplify ${(0)}^{2} + 8 (0) + 15$ .

Simplify each term.

Raising $0$ to any positive power yields $0$ .

$y = 0 + 8 (0) + 15$

Multiply $8$ by $0$ .

$y = 0 + 0 + 15$

Simplify by adding numbers.

Add $0$ and $0$ .

$y = 0 + 15$

Add $0$ and $15$ .

$y = 15$

Use the $x$ and $y$ values to form the ordered pair.

$(0, 15)$

Step 4

Choose $1$ to substitute in for $x$ to find the ordered pair.

Remove parentheses.

$y = 1^{2} + 8 (1) + 15$

Remove parentheses.

$y = {(1)}^{2} + 8 (1) + 15$

Simplify ${(1)}^{2} + 8 (1) + 15$ .

Simplify each term.

One to any power is one.

$y = 1 + 8 (1) + 15$

Multiply $8$ by $1$ .

$y = 1 + 8 + 15$

Simplify by adding numbers.

Add $1$ and $8$ .

$y = 9 + 15$

Add $9$ and $15$ .

$y = 24$

Use the $x$ and $y$ values to form the ordered pair.

$(1, 24)$

Step 5

Choose $2$ to substitute in for $x$ to find the ordered pair.

Remove parentheses.

$y = 2^{2} + 8 (2) + 15$

Remove parentheses.

$y = {(2)}^{2} + 8 (2) + 15$

Simplify ${(2)}^{2} + 8 (2) + 15$ .

Simplify each term.

Raise $2$ to the power of $2$ .

$y = 4 + 8 (2) + 15$

Multiply $8$ by $2$ .

$y = 4 + 16 + 15$

Simplify by adding numbers.

Add $4$ and $16$ .

$y = 20 + 15$

Add $20$ and $15$ .

$y = 35$

Use the $x$ and $y$ values to form the ordered pair.

$(2, 35)$

Step 6

These are three possible solutions to the equation.

$(0, 15), (1, 24), (2, 35)$

Step 7

Find Three Ordered Pair Solutions r(x)=x^2+8x+15

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