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Question 1 of 5
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When factoring quadratics, use the Cross Method.
Use the cross method to factor x2+7x+12
Start by drawing a cross.
Next, find two numbers that will multiply into 12 and add up to 7
|
Product |
Sum |
| 12 and 1 |
12 |
13 |
| 6 and 2 |
12 |
8 |
| 3 and 4 |
12 |
7 |
3 and 4 fits this description.
Next, write 3 and 4 on the right side of the cross.
Now, find two values that will multiply into x2 and write them on the left side of the cross.
x and x fits this description.
Finally, group the values in a row with a bracket and combine the brackets.
Therefore, the factored expression is (x+3)(x+4).
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Question 2 of 5
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When factoring quadratics, use the Cross Method.
Use the cross method to factor y2+11y+30
Start by drawing a cross.
Next, find two numbers that will multiply into 30 and add up to 11
|
Product |
Sum |
| 2 and 15 |
30 |
17 |
| 3 and 10 |
30 |
13 |
| 5 and 6 |
30 |
11 |
5 and 6 fits this description.
Next, write 5 and 6 on the right side of the cross.
Now, find two values that will multiply into y2 and write them on the left side of the cross.
y and y fits this description.
Finally, group the values in a row with a bracket and combine the brackets.
Therefore, the factored expression is (y+5)(y+6).
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Question 3 of 5
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When factoring quadratics, use the Cross Method.
Use the cross method to factor m2+17m+60
Start by drawing a cross.
Next, find two numbers that will multiply into 60 and add up to 17
|
Product |
Sum |
| 6 and 10 |
60 |
16 |
| 3 and 20 |
60 |
23 |
| 5 and 12 |
60 |
17 |
5 and 12 fits this description.
Next, write 5 and 12 on the right side of the cross.
Now, find two values that will multiply into m2 and write them on the left side of the cross.
m and m fits this description.
Finally, group the values in a row with a bracket and combine the brackets.
Therefore, the factored expression is (m+5)(m+12).
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Question 4 of 5
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When factoring quadratics, use the Cross Method.
Use the cross method to factor m2+13m-30
Start by drawing a cross.
Next, find two numbers that will multiply into -30 and add up to 13
|
Product |
Sum |
| 5 and 6 |
30 |
11 |
| -3 and 10 |
-30 |
7 |
| -2 and 15 |
-30 |
13 |
-2 and 15 fits this description.
Next, write -2 and 15 on the right side of the cross.
Now, find two values that will multiply into m2 and write them on the left side of the cross.
m and m fits this description.
Finally, group the values in a row with a bracket and combine the brackets.
Therefore, the factored expression is (m-2)(m+15).
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Question 5 of 5
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When factoring quadratics, use the Cross Method.
Use the cross method to factor x2+8x-48
Start by drawing a cross.
Next, find two numbers that will multiply into -48 and add up to 18
|
Product |
Sum |
| 2 and 24 |
48 |
26 |
| 3 and -16 |
-48 |
-13 |
| -4 and 12 |
-48 |
8 |
| 6 and 8 |
48 |
14 |
-4 and 12 fits this description.
Next, write -4 and 12 on the right side of the cross.
Now, find two values that will multiply into x2 and write them on the left side of the cross.
x and x fits this description.
Finally, group the values in a row with a bracket and combine the brackets.
Therefore, the factored expression is (x-4)(x+12).
