Factorise a Polynomial 1

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Question 1 of 5

1. Question
Factor.

`4m-28`
- `4(m-7)`
- `5(m+3)`
- `4(m+11)`
- `5(2m-14)`
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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.

Factors of `4m`: `4``times m`

Factors of `28`: `4``times7`

Both terms have `4` as their factor, so it is the GCF.

Finally, factor by placing `4` outside a bracket.

Also, place the given polynomial inside the bracket with each term divided by `4`, then simplify.

`4[(4mdiv4)-(28div4)]`

`=` `4(m-7)`

`4(m-7)`
Question 2 of 5

2. Question
Factor.

`5x-35y`
- `5(x-7y)`
- `5(2x-5y)`
- `7(2x-3y)`
- `5(3x-4y)`
Hint

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Correct

Correct!

Incorrect

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.

Factors of `5x`: `5``times x`

Factors of `35y`: `5``times7timesy`

Both terms have `5` as their factor, so it is the GCF.

Finally, factor by placing `5` outside a bracket.

Also, place the given polynomial inside the bracket with each term divided by `5`, then simplify.

`5[(5xdiv5)-(35ydiv5)]`

`=` `5(x-7y)`

`5(x-7y)`
Question 3 of 5

3. Question
Factor.

`a^2+5a`
- `a(a+5)`
- `5(a^2+a)`
- `a(5a+5)`
- `a(a^2+5)`
Hint

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Correct

Fantastic!

Incorrect

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.

Factors of `a^2`: `a``times a`

Factors of `5a`: `5times``a`

Both terms have `a` as their factor, so it is the GCF.

Finally, factor by placing `a` outside a bracket.

Also, place the given polynomial inside the bracket with each term divided by `a`, then simplify.

`a[(a^2diva)+(5adiva)]`

`=` `a(a+5)`

`a(a+5)`
Question 4 of 5

4. Question
Factor.

`35x+42`
- `7(5x+6)`
- `7(28x+35)`
- `14(3x+4)`
- `5(7x+12)`
Hint

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Correct

Great Work!

Incorrect

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.

Factors of `35x`: `5times``7``times x`

Factors of `42`: `7``times6`

Both terms have `7` as their factor, so it is the GCF.

Finally, factor by placing `7` outside a bracket.

Also, place the given polynomial inside the bracket with each term divided by `7`, then simplify.

`7[(35xdiv7)+(42div7)]`

`=` `7(5x+6)`

`7(5x+6)`
Question 5 of 5

5. Question
Factor.

`40+72a`
- `8(5+9a)`
- `5(5+7a)`
- `6(6+12a)`
- `3(9+16a)`
Hint

Help Video

Correct

Excellent!

Incorrect

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.

Factors of `40`: `8``times5`

Factors of `72a`: `8``times9timesa`

Both terms have `8` as their factor, so it is the GCF.

Finally, factor by placing `8` outside a bracket.

Also, place the given polynomial inside the bracket with each term divided by `8`, then simplify.

`8[(40div8)+(72adiv8)]`

`=` `8(5+9a)`

`8(5+9a)`

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Quiz summary

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1. Question

Hint

Keep Going!

2. Question

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Correct!

3. Question

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Fantastic!

4. Question

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Great Work!

5. Question

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Excellent!

Quizzes

		`4[(4mdiv4)-(28div4)]`
	`=`	`4(m-7)`

		`5[(5xdiv5)-(35ydiv5)]`
	`=`	`5(x-7y)`

		`a[(a^2diva)+(5adiva)]`
	`=`	`a(a+5)`

		`7[(35xdiv7)+(42div7)]`
	`=`	`7(5x+6)`