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Factorise Trinomials (Quadratics)>
Factorise Trinomials (Quadratics) 1Factorise Trinomials (Quadratics) 1
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Question 1 of 5
1. Question
Factor.`x^2+7x+12`Hint
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When factoring quadratics, use the Cross Method.Use the cross method to factor `x^2+7x+12`Start by drawing a cross.
Next, find two numbers that will multiply into `12` and add up to `7`Product Sum `12` and `1` `12` `13` `6` and `2` `12` `8` `3` and `4` `12` `7` `3` and `4` fits this description.Next, write `3` and `4` 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 factored expression is `(x+3)(x+4)`.`(x+3)(x+4)` -
Question 2 of 5
2. Question
Factor.`y^2+11y+30`Hint
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When factoring quadratics, use the Cross Method.Use the cross method to factor `y^2+11y+30`Start by drawing a cross.Next, find two numbers that will multiply into `30` and add up to `11`Product Sum `2` and `15` `30` `17` `3` and `10` `30` `13` `5` and `6` `30` `11` `5` and `6` fits this description.Next, write `5` and `6` 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 factored expression is `(y+5)(y+6)`.`(y+5)(y+6)` -
Question 3 of 5
3. Question
Factor.`m^2+17m+60`Hint
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When factoring quadratics, use the Cross Method.Use the cross method to factor `m^2+17m+60`Start by drawing a cross.Next, find two numbers that will multiply into `60` and add up to `17`Product Sum `6` and `10` `60` `16` `3` and `20` `60` `23` `5` and `12` `60` `17` `5` and `12` fits this description.Next, write `5` and `12` on the right side of the cross.
Now, find two values that will multiply into `m^2` and write them on the left side of the cross.`m` and `m` fits this description.
Finally, group the values in a row with a bracket and combine the brackets.
Therefore, the factored expression is `(m+5)(m+12)`.`(m+5)(m+12)` -
Question 4 of 5
4. Question
Factor.`m^2+13m-30`Hint
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When factoring quadratics, use the Cross Method.Use the cross method to factor `m^2+13m-30`Start by drawing a cross.Next, find two numbers that will multiply into `-30` and add up to `13`Product Sum `5` and `6` `30` `11` `-3` and `10` `-30` `7` `-2` and `15` `-30` `13` `-2` and `15` fits this description.Next, write `-2` and `15` on the right side of the cross.
Now, find two values that will multiply into `m^2` and write them on the left side of the cross.`m` and `m` fits this description.
Finally, group the values in a row with a bracket and combine the brackets.
Therefore, the factored expression is `(m-2)(m+15)`.`(m-2)(m+15)` -
Question 5 of 5
5. Question
Factor.`x^2+8x-48`Hint
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When factoring quadratics, use the Cross Method.Use the cross method to factor `x^2+8x-48`Start by drawing a cross.Next, find two numbers that will multiply into `-48` and add up to `18`Product Sum `2` and `24` `48` `26` `3` and `-16` `-48` `-13` `-4` and `12` `-48` `8` `6` and `8` `48` `14` `-4` and `12` fits this description.Next, write `-4` 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 factored expression is `(x-4)(x+12)`.`(x-4)(x+12)`
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