Factor Quadratics (Complex)
Try VividMath Premium to unlock full access
Time limit: 0
Quiz summary
0 of 5 questions completed
Questions:
- 1
- 2
- 3
- 4
- 5
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
- 5
- Answered
- Review
-
Question 1 of 5
1. Question
Factorise.`21+43a+20a^2`Hint
Help VideoCorrect
Fantastic!
Incorrect
When factorising trinomials, use the Cross Method.Use the cross method to factorise `21+43a+20a^2`Start by drawing a cross.
Now, find two values that will multiply into `21` and write them on the left side of the cross.`7` and `3` fits this description.
Next, find two numbers that will multiply into `20a^2` and, when cross-multiplied to the values to the left side, will add up to `43a`.Product Sum when Cross-Multiplied `2a` and `10a` `20a^2` `(3times2a)+(7times10a)=76a` `5a` and `4a` `20a^2` `(3times5a)+(7times4a)=43a` `20a` and `1a` `20a^2` `(3times20a)+(7times1a)=67a` `5a` and `4a` fits this description.Now, write `5a` and `4a` 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 `(7+5a)(3+4a)`.`(7+5a)(3+4a)` -
Question 2 of 5
2. Question
Factorise.`56+19y-10y^2`Hint
Help VideoCorrect
Nice Job!
Incorrect
When factorising trinomials, use the Cross Method.Use the cross method to factorise `56+19y-10y^2`Start by drawing a cross.Now, find two values that will multiply into `56` and write them on the left side of the cross.`7` and `8` fits this description.
Next, find two numbers that will multiply into `-10y^2` and, when cross-multiplied to the values to the left side, will add up to `19y`.Product Sum when Cross-Multiplied `-y` and `10y` `-10y^2` `(8times-y)+(7times10y)=62y` `-2y` and `5y` `-10y^2` `(8times-2y)+(7times5y)=19y` `-2y` and `5y` fits this description.Now, write `-2y` and `5y` 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 `(7-2y)(8+5y)`.`(7-2y)(8+5y)` -
Question 3 of 5
3. Question
Factorise.`x^2+5xy+4y^2`Hint
Help VideoCorrect
Fantastic!
Incorrect
When factorising trinomials, use the Cross Method.Use the cross method to factorise `x^2+5xy+4y^2`Start by drawing a 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.
Next, find two numbers that will multiply into `4y^2` and, when cross-multiplied to the values to the left side, will add up to `5xy`.Product Sum when Cross-Multiplied `2y` and `2y` `4y^2` `(xtimes2y)+(xtimes2y)=4xy` `4y` and `y` `4y^2` `(xtimes4y)+(xtimesy)=5xy` `4y` and `y` fits this description.Now, write `4y` and `y` 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 `(x+4y)(x+y)`.`(x+4y)(x+y)` -
Question 4 of 5
4. Question
Factorise.`6x^2+xy-2y^2`Hint
Help VideoCorrect
Excellent!
Incorrect
When factorising trinomials, use the Cross Method.Use the cross method to factorise `6x^2+xy-2y^2`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.Either `6x` and `x` or `2x` and `3x` fits this description. Try `2x` and `3x` first.
Next, find two numbers that will multiply into `-2y^2` and, when cross-multiplied to the values to the left side, will add up to `xy`.Product Sum when Cross-Multiplied `-2y` and `y` `-2y^2` `(3xtimes-2y)+(2xtimesy)=-4xy` `-y` and `2y` `-2y^2` `(3xtimes-y)+(2xtimes2y)=xy` `-y` and `2y` fits this description.Now, write `-y` and `2y` 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 `(2x-y)(3x+2y)`.`(2x-y)(3x+2y)` -
Question 5 of 5
5. Question
Factorise.`28x^2+xy-2y^2`Hint
Help VideoCorrect
Exceptional!
Incorrect
When factorising trinomials, use the Cross Method.Use the cross method to factorise `28x^2+xy-2y^2`Start by drawing a cross.Now, find two values that will multiply into `-2y^2` and write them on the left side of the cross.`-2y` and `y` fits this description.
Next, find two numbers that will multiply into `28x^2` and, when cross-multiplied to the values to the left side, will add up to `xy`.Product Sum when Cross-Multiplied `2x` and `14x` `28x^2` `(2xtimesy)+(14xtimes-2y)=-26xy` `7x` and `4x` `28x^2` `(7xtimesy)+(4xtimes-2y)=xy` `7x` and `4x` fits this description.Now, write `7x` and `4x` 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 `(7x+2y)(4x-y)`.`(7x+2y)(4x-y)`
Quizzes
- Greatest Common Factor 1
- Greatest Common Factor 2
- Factor Expressions using GCF
- Factor Expressions 1
- Factor Expressions 2
- Factor Expressions with Negative Numbers
- Factor Difference of Two Squares 1
- Factor Difference of Two Squares 2
- Factor Difference of Two Squares 3
- Factor by Grouping
- Factor Difference of Two Squares (Harder) 1
- Factor Difference of Two Squares (Harder) 2
- Factor Difference of Two Squares (Harder) 3
- Factor Quadratics 1
- Factor Quadratics 2
- Factor Quadratics 3
- Factor Quadratics with Leading Coefficient more than 1 (1)
- Factor Quadratics with Leading Coefficient more than 1 (2)
- Factor Quadratics with Leading Coefficient more than 1 (3)
- Factor Quadratics (Complex)