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Factorise Trinomials (Quadratics)>
Factorise Trinomials (Quadratics) 2Factorise Trinomials (Quadratics) 2
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Question 1 of 5
1. Question
Factorise.`f^2+8f-9`Hint
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When factorising trinomials, use the Cross Method.Use the cross method to factorise `f^2+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 `f^2` 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)`.`(f+9)(f-1)` -
Question 2 of 5
2. Question
Factorise.`y^2+y-56`Hint
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When factorising trinomials, use the Cross Method.Use the cross method to factorise `y^2+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 `y^2` 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)`.`(y-7)(y+8)` -
Question 3 of 5
3. Question
Factorise.`a^2-5a-36`Hint
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When factorising trinomials, use the Cross Method.Use the cross method to factorise `a^2-5a-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 `a^2` 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)`.`(a+4)(a-9)` -
Question 4 of 5
4. Question
Factorise.`x^2-3x-28`Hint
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When factorising trinomials, use the Cross Method.Use the cross method to factorise `x^2-3x-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 `x^2` 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)`.`(x+4)(x-7)` -
Question 5 of 5
5. Question
Factorise.`f^2-2f-80`Hint
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When factorising trinomials, use the Cross Method.Use the cross method to factorise `f^2-2f-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 `f^2` 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)`.`(f+8)(f-10)`
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