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Alja [10]
3 years ago
7

How do you Factor in algebra 2? for example: r^2-r-20 and x^2+8x+12

Mathematics
1 answer:
Alexxandr [17]3 years ago
4 0

(r-5)(r+4)

(x+6)(x+2)

Step-by-step explanation:

1 r^2 - 1 r - 20

multiply the first and third terms

-20 <em>times</em><em> </em><em>1</em><em> </em><em>equals</em><em> </em><em>-20</em><em>.</em><em> </em><em>take</em><em> </em><em>the</em><em> </em><em>-1</em>

<em>*</em><em>what</em><em> </em><em>are</em><em> </em><em>two</em><em> </em><em>numbers</em><em> </em><em>that</em><em> </em><em>multiply</em><em> </em><em>together</em><em> </em><em>that</em><em> </em><em>equals</em><em> </em><em>-20</em><em> </em><em>but</em><em> </em><em>add</em><em> </em><em>to</em><em> </em><em>equal</em><em> </em><em>-1</em><em>?</em>

<em>-5</em><em> </em><em>times</em><em> </em><em>4</em><em> </em><em>equals</em><em> </em><em>-20</em>

<em>-5</em><em> </em><em>plus</em><em> </em><em>4</em><em> </em><em>equals</em><em> </em><em>-1</em>

<em>(</em><em>r-5</em><em>)</em><em>(</em><em>r</em><em>+</em><em>4</em><em>)</em>

1 x^2 + 8 x + 12

<em>multiply</em><em> </em><em>the</em><em> </em><em>first</em><em> </em><em>and</em><em> </em><em>third</em><em> </em><em>terms</em>

<em>1</em><em>2</em><em> </em><em>times</em><em> </em><em>1</em><em> </em><em>equals</em><em> </em><em>12</em><em>.</em><em> </em><em>take</em><em> </em><em>the</em><em> </em><em>8</em>

<em>*</em><em>what</em><em> </em><em>are</em><em> </em><em>two</em><em> </em><em>numbers</em><em> </em><em>that</em><em> </em><em>multiply</em><em> </em><em>together</em><em> </em><em>that</em><em> </em><em>equals</em><em> </em><em>12</em><em> </em><em>but</em><em> </em><em>add</em><em> </em><em>to</em><em> </em><em>equal</em><em> </em><em>8</em><em>?</em>

<em>6</em><em> </em><em>times</em><em> </em><em>2</em><em> </em><em>equals</em><em> </em><em>12</em>

<em>6</em><em> </em><em>plus</em><em> </em><em>2</em><em> </em><em>equals</em><em> </em><em>8</em>

<em>=</em><em>(</em><em>x</em><em>+</em><em>6</em><em>)</em><em>(</em><em>x</em><em>+</em><em>2</em><em>)</em>

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