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Factorise Trinomials (Quadratics)>
Factorise Trinomials (Quadratics) 3Factorise Trinomials (Quadratics) 3
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Question 1 of 4
1. Question
Factorise.`y^2-19y+48`Hint
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When factorising trinomials, use the Cross Method.Use the cross method to factorise `y^2-19y+48`Start by drawing a cross.
Next, find two numbers that will multiply into `48` and add up to `-19`Product Sum `-2` and `-24` `48` `-26` `-3` and `-16` `48` `-19` `-4` and `-12` `48` `-16` `-6` and `-8` `48` `-14` `-3` and `-16` fits this description.Next, write `-3` and `-16` 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-3)(y-16)`.`(y-3)(y-16)` -
Question 2 of 4
2. Question
Factorise.`t^2-16t+63`Hint
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When factorising trinomials, use the Cross Method.Use the cross method to factorise `t^2-16t+63`Start by drawing a cross.Next, find two numbers that will multiply into `63` and add up to `-16`Product Sum `-7` and `-9` `63` `-16` `-1` and `-63` `63` `-64` `-3` and `-21` `63` `-24` `-7` and `-9` fits this description.Next, write `-7` and `-9` on the right side of the cross.
Now, find two values that will multiply into `t^2` and write them on the left side of the cross.`t` and `t` fits this description.
Finally, group the values in a row with a bracket and combine the brackets.
Therefore, the factorised expression is `(t-7)(t-9)`.`(t-7)(t-9)` -
Question 3 of 4
3. Question
Factorise.`x^2-14x+24`Hint
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When factorising trinomials, use the Cross Method.Use the cross method to factorise `x^2-14x+24`Start by drawing a cross.Next, find two numbers that will multiply into `24` and add up to `-14`Product Sum `-2` and `-12` `24` `-14` `-3` and `-8` `24` `-11` `-4` and `-6` `24` `-10` `-2` and `-12` fits this description.Next, write `-2` and `-12` 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-2)(x-12)`.`(x-2)(x-12)` -
Question 4 of 4
4. Question
Factorise.`t^2-15t+54`Hint
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When factorising trinomials, use the Cross Method.Use the cross method to factorise `t^2-15t+54`Start by drawing a cross.Next, find two numbers that will multiply into `54` and add up to `-15`Product Sum `-2` and `-27` `54` `-29` `-3` and `-18` `54` `-21` `-6` and `-9` `54` `-15` `-6` and `-9` fits this description.Next, write `-6` and `-9` on the right side of the cross.
Now, find two values that will multiply into `t^2` and write them on the left side of the cross.`t` and `t` fits this description.
Finally, group the values in a row with a bracket and combine the brackets.
Therefore, the factorised expression is `(t-6)(t-9)`.`(t-6)(t-9)`
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