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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+12x2+7x+12
Start by drawing a cross.
Next, find two numbers that will multiply into 1212 and add up to 77
|
Product |
Sum |
1212 and 11 |
1212 |
1313 |
66 and 22 |
1212 |
88 |
33 and 44 |
1212 |
77 |
33 and 44 fits this description.
Next, write 33 and 44 on the right side of the cross.
Now, find two values that will multiply into x2x2 and write them on the left side of the cross.
xx and xx 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)(x+3)(x+4).
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Question 2 of 5
Factor.
y2+11y+30y2+11y+30
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When factoring quadratics, use the Cross Method.
Use the cross method to factor y2+11y+30y2+11y+30
Start by drawing a cross.
Next, find two numbers that will multiply into 3030 and add up to 1111
|
Product |
Sum |
22 and 1515 |
3030 |
1717 |
33 and 1010 |
3030 |
1313 |
55 and 66 |
3030 |
1111 |
55 and 66 fits this description.
Next, write 55 and 66 on the right side of the cross.
Now, find two values that will multiply into y2y2 and write them on the left side of the cross.
yy and yy 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)(y+5)(y+6).
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Question 3 of 5
Factor.
m2+17m+60m2+17m+60
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When factoring quadratics, use the Cross Method.
Use the cross method to factor m2+17m+60m2+17m+60
Start by drawing a cross.
Next, find two numbers that will multiply into 6060 and add up to 1717
|
Product |
Sum |
66 and 1010 |
6060 |
1616 |
33 and 2020 |
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).