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Question 1 of 5
Factorise.
f2+8f-9f2+8f−9
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When factorising trinomials, use the Cross Method.
Use the cross method to factorise f2+8f-9
Start by drawing a cross.
Next, find two numbers that will multiply into -9 and add up to 8
|
Product |
Sum |
| -3 and 3 |
-9 |
0 |
| 9 and -1 |
-9 |
8 |
9 and -1 fits this description.
Next, write 9 and -1 on the right side of the cross.
Now, find two values that will multiply into f2 and write them on the left side of the cross.
f and f fits this description.
Finally, group the values in a row with a bracket and combine the brackets.
Therefore, the factorised expression is (f+9)(f-1).
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Question 2 of 5
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When factorising trinomials, use the Cross Method.
Use the cross method to factorise y2+y-56
Start by drawing a cross.
Next, find two numbers that will multiply into -56 and add up to 1
|
Product |
Sum |
| -1 and 56 |
-56 |
55 |
| -2 and 28 |
-56 |
26 |
| -4 and 14 |
-56 |
10 |
| -7 and 8 |
-56 |
1 |
-7 and 8 fits this description.
Next, write -7 and 8 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 factorised expression is (y-7)(y+8).
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Question 3 of 5
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When factorising trinomials, use the Cross Method.
Use the cross method to factorise a2-5a-36
Start by drawing a cross.
Next, find two numbers that will multiply into -36 and add up to -5
|
Product |
Sum |
| -2 and 18 |
-36 |
16 |
| -3 and 12 |
-36 |
9 |
| 4 and -9 |
-36 |
-5 |
| 6 and 6 |
36 |
12 |
4 and -9 fits this description.
Next, write 4 and -9 on the right side of the cross.
Now, find two values that will multiply into a2 and write them on the left side of the cross.
a and a fits this description.
Finally, group the values in a row with a bracket and combine the brackets.
Therefore, the factorised expression is (a+4)(a-9).
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Question 4 of 5
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When factorising trinomials, use the Cross Method.
Use the cross method to factorise x2-3x-28
Start by drawing a cross.
Next, find two numbers that will multiply into -28 and add up to -3
|
Product |
Sum |
| -1 and 28 |
-28 |
27 |
| -2 and 14 |
-28 |
12 |
| 4 and -7 |
-28 |
-3 |
4 and -7 fits this description.
Next, write 4 and -7 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 factorised expression is (x+4)(x-7).
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Question 5 of 5
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When factorising trinomials, use the Cross Method.
Use the cross method to factorise f2-2f-80
Start by drawing a cross.
Next, find two numbers that will multiply into -80 and add up to -2
|
Product |
Sum |
| -2 and 40 |
-80 |
38 |
| -4 and 20 |
-80 |
16 |
| -5 and 16 |
-80 |
11 |
| 8 and -10 |
-80 |
-2 |
8 and -10 fits this description.
Next, write 8 and -10 on the right side of the cross.
Now, find two values that will multiply into f2 and write them on the left side of the cross.
f and f fits this description.
Finally, group the values in a row with a bracket and combine the brackets.
Therefore, the factorised expression is (f+8)(f-10).
