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Question 1 of 4
1. Question
Factorise.`5x^2+22x+8`Hint
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When factorising trinomials, use the Cross Method.Use the cross method to factorise `5x^2+22x+8`Start by drawing a cross.Now, find two values that will multiply into `5x^2` 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 crossmultiplied to the values to the left side, will add up to `22x`.Product Sum when CrossMultiplied `2` and `4` `8` `(5xtimes4)+(xtimes2)=22x` `8` and `1` `8` `(5xtimes1)+(xtimes8)=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)`.`(5x+2)(x+4)` 
Question 2 of 4
2. Question
Factorise.`3x^226x+35`Hint
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When factorising trinomials, use the Cross Method.Use the cross method to factorise `3x^226x+35`Start by drawing a cross.Now, find two values that will multiply into `3x^2` 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 crossmultiplied to the values to the left side, will add up to `26x`.Product Sum when CrossMultiplied `7` and `5` `35` `[3xtimes(5)]+[xtimes(7)]=22x` `5` and `7` `35` `[3xtimes(7)]+[xtimes(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 `(3x5)(x7)`.`(3x5)(x7)` 
Question 3 of 4
3. Question
Factorise.`6x^217x3`Hint
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When factorising trinomials, use the Cross Method.Use the cross method to factorise `6x^217x3`Start by drawing a cross.Now, find two values that will multiply into `6x^2` 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 crossmultiplied to the values to the left side, will add up to `17x`.Product Sum when CrossMultiplied `1` and `3` `3` `[6xtimes(3)]+(xtimes1)=17x` `3` and `1` `3` `(6xtimes1)+[xtimes(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)(x3)`.`(6x+1)(x3)` 
Question 4 of 4
4. Question
Factorise.`5u^2+19u+12`Hint
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When factorising trinomials, use the Cross Method.Use the cross method to factorise `5u^2+19u+12`Start by drawing a cross.Now, find two values that will multiply into `5u^2` 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 crossmultiplied to the values to the left side, will add up to `19u`.Product Sum when CrossMultiplied `2` and `6` `12` `(5utimes6)+(utimes2)=32u` `3` and `4` `12` `(5utimes4)+(utimes3)=23u` `4` and `3` `12` `(5utimes3)+(utimes4)=19u` `1` and `12` `12` `(5utimes12)+(utimes1)=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)`.`(5u+4)(u+3)`
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