Factor Quadratics 2
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Question 1 of 5
1. Question
Factorise.`f^2+8f9`Hint
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When factorising trinomials, use the Cross Method.Use the cross method to factorise `f^2+8f9`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)(f1)`.`(f+9)(f1)` 
Question 2 of 5
2. Question
Factorise.`y^2+y56`Hint
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When factorising trinomials, use the Cross Method.Use the cross method to factorise `y^2+y56`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 `(y7)(y+8)`.`(y7)(y+8)` 
Question 3 of 5
3. Question
Factorise.`a^25a36`Hint
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When factorising trinomials, use the Cross Method.Use the cross method to factorise `a^25a36`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)(a9)`.`(a+4)(a9)` 
Question 4 of 5
4. Question
Factorise.`x^23x28`Hint
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When factorising trinomials, use the Cross Method.Use the cross method to factorise `x^23x28`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)(x7)`.`(x+4)(x7)` 
Question 5 of 5
5. Question
Factorise.`f^22f80`Hint
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When factorising trinomials, use the Cross Method.Use the cross method to factorise `f^22f80`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)(f10)`.`(f+8)(f10)`
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