Factor Expressions using GCF
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Question 1 of 7
1. Question
Factorise.`40x^2+35x`Hint
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A Greatest Common Factor is the factor of two terms with the highest value.First, find the Greatest Common Factor (`GCF`) of the two terms by using a factor tree.Factors of `40x^2`:Factors of `35x`:Collect the common factors and multiply them all to get the GCF.GCF `=` `5``times``x` `=` `5x` Finally, factorise by placing `5x` outside a bracket.Also, place the given polynomial inside the bracket with each term divided by `5x`, then simplify.`5x[(40x^2div5x)+(35xdiv5x)]` `=` `5x(8x+7)` `5x(8x+7)` 
Question 2 of 7
2. Question
Factorise.`28x^2y^249xyz`Hint
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A Greatest Common Factor is the factor of two terms with the highest value.First, find the Greatest Common Factor (`GCF`) of the two terms by using a factor tree.Factors of `28x^2y^2`:Factors of `49xyz`:Collect the common factors and multiply them all to get the GCF.GCF `=` `7``times``x``times``y` `=` `7xy` Finally, factorise by placing `7xy` outside a bracket.Also, place the given polynomial inside the bracket with each term divided by `7xy`, then simplify.`7xy[(28x^2y^2div7xy)(49xyzdiv7xy)]` `=` `7xy(4xy7z)` `7xy(4xy7z)` 
Question 3 of 7
3. Question
Factorise.`8mp16mt+2m^2`Hint
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A Greatest Common Factor is the factor of two terms with the highest value.First, find the Greatest Common Factor (`GCF`) of the three terms by using a factor tree.Factors of `8mp`:Factors of `16mt`:Factors of `2m^2`:Collect the common factors and multiply them all to get the GCF.GCF `=` `2``times``m` `=` `2m` Finally, factorise by placing `2m` outside a bracket.Also, place the given polynomial inside the bracket with each term divided by `2m`, then simplify.`2m[(8mpdiv2m)(16mtdiv2m)+(2m^2div2m)]` `=` `2m(4p8t+m)` `2m(4p8t+m)` 
Question 4 of 7
4. Question
Factorise.`36a^2b54ab^2c`Hint
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A Greatest Common Factor is the factor of two terms with the highest value.First, find the Greatest Common Factor (`GCF`) of the two terms by using a factor tree.Factors of `36a^2b`:Factors of `54ab^2c`:Collect the common factors and multiply them all to get the GCF.GCF `=` `2``times``3``times``3``times``a``times``b` `=` `18ab` Finally, factorise by placing `18ab` outside a bracket.Also, place the given polynomial inside the bracket with each term divided by `18ab`, then simplify.`18ab[(36a^2bdiv18ab)(54ab^2cdiv18ab)]` `=` `18ab(2a3bc)` `18ab(2a3bc)` 
Question 5 of 7
5. Question
Factorise.`9xy^2+18x^2y+12xy`Hint
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A Greatest Common Factor is the factor of two terms with the highest value.First, find the Greatest Common Factor (`GCF`) of the three terms by using a factor tree.Factors of `9xy^2`:Factors of `18x^2y`:Factors of `12xy`:Collect the common factors and multiply them all to get the GCF.GCF `=` `3``times``x``times``y` `=` `3xy` Finally, factorise by placing `3xy` outside a bracket.Also, place the given polynomial inside the bracket with each term divided by `3xy`, then simplify.`3xy[(9xy^2div3xy)+(18x^2ydiv3xy)+(12xydiv3xy)]` `=` `3xy(3y+6x+4)` `3xy(3y+6x+4)` 
Question 6 of 7
6. Question
Factorise.`24n60mn96n^2`Hint
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A Greatest Common Factor is the factor of two terms with the highest value.First, find the Greatest Common Factor (`GCF`) of the three terms by using a factor tree.Factors of `24n`:Factors of `60mn`:Factors of `96n^2`:Collect the common factors and multiply them all to get the GCF.GCF `=` `3``times``2``times``2``times``n` `=` `12n` Finally, factorise by placing `12n` outside a bracket.Also, place the given polynomial inside the bracket with each term divided by `12n`, then simplify.`12n[(24ndiv12n)(60mndiv12n)(96n^2div12n)]` `=` `12n(25m8n)` `12n(25m8n)` 
Question 7 of 7
7. Question
Factorise.`16pq^2+20p^2qv24q^2`Hint
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A Greatest Common Factor is the factor of two terms with the highest value.First, find the Greatest Common Factor (`GCF`) of the three terms by using a factor tree.Factors of `16pq^2`:Factors of `20p^2qv`:Factors of `24q^2`:Collect the common factors and multiply them all to get the GCF.GCF `=` `2``times``2``times``q` `=` `4q` Finally, factorise by placing `4q` outside a bracket.Also, place the given polynomial inside the bracket with each term divided by `4q`, then simplify.`4q[(16pq^2div4q)+(20p^2qvdiv4q)(24q^2div4q)]` `=` `4q(4pq+5p^2v6q)` `4q(4pq+5p^2v6q)`
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)