Years
>
Year 10>
Products and Factors>
Factorise Trinomials (Quadratics) w Coefficient more than 1>
Factorise Trinomials (Quadratics) w Coefficient more than 1 (3)Factorise Trinomials (Quadratics) w Coefficient more than 1 (3)
Try VividMath Premium to unlock full access
Time limit: 0
Quiz summary
0 of 4 questions completed
Questions:
- 1
- 2
- 3
- 4
Information
–
You have already completed the quiz before. Hence you can not start it again.
Quiz is loading...
You must sign in or sign up to start the quiz.
You have to finish following quiz, to start this quiz:
Loading...
- 1
- 2
- 3
- 4
- Answered
- Review
-
Question 1 of 4
1. Question
Factorise.`10x^2+29x-72`Hint
Help VideoCorrect
Well Done!
Incorrect
When factorising trinomials, use the Cross Method.Use the cross method to factorise `10x^2+29x-72`Start by drawing a cross.
Now, find two values that will multiply into `10x^2` and write them on the left side of the cross.`5x` and `2x` fits this description.
Next, find two numbers that will multiply into `-72` and, when cross-multiplied to the values to the left side, will add up to `29x`.Product Sum when Cross-Multiplied `-9` and `8` `-72` `(5xtimes8)+[2xtimes(-9)]=22x` `-8` and `9` `-72` `(5xtimes9)+[2xtimes(-8)]=29x` `-8` and `9` fits this description.Now, write `-8` and `9` 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-8)(2x+9)`.`(5x-8)(2x+9)` -
Question 2 of 4
2. Question
Factorise.`18x^2-33x+9`Hint
Help VideoCorrect
Good Job!
Incorrect
When factorising trinomials, use the Cross Method.First, find the Highest Common Factor (HCF) of the three terms.Start by listing down their factors.Factors of `18x^2`: `3``times6timesxtimesx`Factors of `-33x`: `3``times-11timesx`Factors of `9`: `3``times3`All the terms have `3` as their factor, so it is the HCF.Next, factorise by placing `3` outside a bracket.Also, place the given polynomial inside the bracket with each term divided by `3`, then simplify.`3[(18x^2div3)-(33xdiv3)+(9div3)]` `=` `3(6x^2-11x-3)` Now, use the cross method to factorise `6x^2-11x+3`Start by drawing a cross.For the left side, find two values that will multiply into `6x^2` and write them on the left side of the cross.While for the right side, find two numbers that will multiply into `3` and, when cross-multiplied to the values to the left side, will add up to `-11x`.Left Side Product Right Side Product Sum when Cross-Multiplied `6x` and `x` `6x^2` `-3` and `-1` `3` `(6xtimes-1)+(xtimes-3)=-3x` `3x` and `2x` `6x^2` `-3` and `-1` `3` `(3xtimes-1)+(2xtimes-3)=-9x` `3x` and `2x` `6x^2` `-1` and `-3` `3` `(3xtimes-3)+(2xtimes-1)=-11x` `3x` and `2x` fits the left side and `-1` and `-3` fits the right side.Now, write the chosen values on the sides of the cross.
Finally, group the values in a row with a bracket and combine the brackets.Remember to add the `HCF` before the brackets.
Therefore, the factorised expression is `3(3x-1)(2x-3)`.`3(3x-1)(2x-3)` -
Question 3 of 4
3. Question
Factorise.`12y^2-24y-63`Hint
Help VideoCorrect
Well Done!
Incorrect
When factorising trinomials, use the Cross Method.First, find the Highest Common Factor (HCF) of the three terms.Start by listing down their factors.Factors of `12y^2`: `3``times4timesytimesy`Factors of `24y`: `3``times8timesy`Factors of `63`: `3``times21`All the terms have `3` as their factor, so it is the HCF.Next, factorise by placing `3` outside a bracket.Also, place the given polynomial inside the bracket with each term divided by `3`, then simplify.`3[(12y^2div3)-(24ydiv3)-(63div3)]` `=` `3(4y^2-8y-21)` Now, use the cross method to factorise `4y^2-8y-21`Start by drawing a cross.For the left side, find two values that will multiply into `4y^2` and write them on the left side of the cross.While for the right side, find two numbers that will multiply into `-21` and, when cross-multiplied to the values to the left side, will add up to `-8y`.Left Side Product Right Side Product Sum when Cross-Multiplied `4y` and `y` `4y^2` `3` and `-7` `-21` `(4ytimes-7)+(3timesy)=-25y` `2y` and `2y` `4y^2` `3` and `-7` `-21` `(2ytimes-7)+(2ytimes3)=-8y` `2y` and `2y` fits the left side and `3` and `-7` fits the right side.Now, write the chosen values on the sides of the cross.
Finally, group the values in a row with a bracket and combine the brackets.Remember to add the `HCF` before the brackets.
Therefore, the factorised expression is `3(2y+3)(2y-7)`.`3(2y+3)(2y-7)` -
Question 4 of 4
4. Question
Factorise.`15-u-2u^2`Hint
Help VideoCorrect
Exceptional!
Incorrect
When factorising trinomials, use the Cross Method.Use the cross method to factorise `15-u-2u^2`Start by drawing a cross.For the left side, find two values that will multiply into `15` and write them on the left side of the cross.While for the right side, find two numbers that will multiply into `-2u^2` and, when cross-multiplied to the values to the left side, will add up to `-u`.Left Side Product Right Side Product Sum when Cross-Multiplied `3` and `5` `15` `2u` and `-u` `-2u^2` `(3times-u)+(5times2u)=7u` `3` and `5` `15` `u` and `-2u` `-2u^2` `(3times-2u)+(5timesu)=-u` `3` and `5` fits the left side and `5a` and `4a` fits the right side.Now, write the chosen values on the sides of the cross.
Finally, group the values in a row with a bracket and combine the brackets.
Therefore, the factorised expression is `(3+u)(5-2u)`.`(3+u)(5-2u)`
Quizzes
- Binomial Products – Distributive Property
- Binomial Products – FOIL Method
- FOIL Method – Same First Variable 1
- FOIL Method – Same First Variable 2
- FOIL Method – 3 Terms
- Expand Perfect Squares
- Difference of Two Squares
- Expand Longer Expressions
- Highest Common Factor 1
- Highest Common Factor 2
- Factorise a Polynomial (HCF)
- Factorise a Polynomial 1
- Factorise a Polynomial 2
- Factorise a Polynomial with Integers
- Factorise Difference of Two Squares 1
- Factorise Difference of Two Squares 2
- Factorise Difference of Two Squares 3
- Factorise by Grouping in Pairs
- Factorise Difference of Two Squares (Harder) 1
- Factorise Difference of Two Squares (Harder) 2
- Factorise Difference of Two Squares (Harder) 3
- Factorise Trinomials (Quadratics) 1
- Factorise Trinomials (Quadratics) 2
- Factorise Trinomials (Quadratics) 3
- Factorise Trinomials (Quadratics) w Coefficient more than 1 (1)
- Factorise Trinomials (Quadratics) w Coefficient more than 1 (2)
- Factorise Trinomials (Quadratics) w Coefficient more than 1 (3)
- Factorise Trinomials (Quadratics) – Complex