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Question 1 of 4
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When factorising trinomials, use the Cross Method.
Use the cross method to factorise 5x2+22x+8
Start by drawing a cross.
Now, find two values that will multiply into 5x2 and write them on the left side of the cross.
5x and x fits this description.
Next, find two numbers that will multiply into 8 and, when cross-multiplied to the values to the left side, will add up to 22x.
|
Product |
Sum when Cross-Multiplied |
| 2 and 4 |
8 |
(5x×4)+(x×2)=22x |
| 8 and 1 |
8 |
(5x×1)+(x×8)=13x |
2 and 4 fits this description.
Now, write 2 and 4 on the right side of the cross.
Finally, group the values in a row with a bracket and combine the brackets.
Therefore, the factorised expression is (5x+2)(x+4).
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Question 2 of 4
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When factorising trinomials, use the Cross Method.
Use the cross method to factorise 3x2-26x+35
Start by drawing a cross.
Now, find two values that will multiply into 3x2 and write them on the left side of the cross.
3x and x fits this description.
Next, find two numbers that will multiply into 35 and, when cross-multiplied to the values to the left side, will add up to -26x.
|
Product |
Sum when Cross-Multiplied |
| -7 and -5 |
35 |
[3x×(-5)]+[x×(-7)]=-22x |
| -5 and -7 |
35 |
[3x×(-7)]+[x×(-5)]=-26x |
-5 and -7 fits this description.
Now, write -5 and -7 on the right side of the cross.
Finally, group the values in a row with a bracket and combine the brackets.
Therefore, the factorised expression is (3x-5)(x-7).
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Question 3 of 4
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When factorising trinomials, use the Cross Method.
Use the cross method to factorise 6x2-17x-3
Start by drawing a cross.
Now, find two values that will multiply into 6x2 and write them on the left side of the cross.
6x and x fits this description.
Next, find two numbers that will multiply into -3 and, when cross-multiplied to the values to the left side, will add up to -17x.
|
Product |
Sum when Cross-Multiplied |
| 1 and -3 |
-3 |
[6x×(-3)]+(x×1)=-17x |
| 3 and -1 |
-3 |
(6x×1)+[x×(-6)]=-5x |
1 and -3 fits this description.
Now, write 1 and -3 on the right side of the cross.
Finally, group the values in a row with a bracket and combine the brackets.
Therefore, the factorised expression is (6x+1)(x-3).
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Question 4 of 4
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When factorising trinomials, use the Cross Method.
Use the cross method to factorise 5u2+19u+12
Start by drawing a cross.
Now, find two values that will multiply into 5u2 and write them on the left side of the cross.
5u and u fits this description.
Next, find two numbers that will multiply into 12 and, when cross-multiplied to the values to the left side, will add up to 19u.
|
Product |
Sum when Cross-Multiplied |
| 2 and 6 |
12 |
(5u×6)+(u×2)=32u |
| 3 and 4 |
12 |
(5u×4)+(u×3)=23u |
| 4 and 3 |
12 |
(5u×3)+(u×4)=19u |
| 1 and 12 |
12 |
(5u×12)+(u×1)=61u |
4 and 3 fits this description.
Now, write 4 and 3 on the right side of the cross.
Finally, group the values in a row with a bracket and combine the brackets.
Therefore, the factorised expression is (5u+4)(u+3).
