Extracting a common algebraic factor · Short practice

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Recall

Extracting a common algebraic factor — objective 1

Maths4U Original · Short practice

Consider \(E=8 x^{3} y + 12 x^{2} y^{2}\).

Find the greatest common numerical factor.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Extracting a common algebraic factor — objective 1

Maths4U Original · Short practice

Consider \(E=15 x^{4} y + 20 x^{3} y^{2}\).

Find the greatest common numerical factor.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Method

Extracting a common algebraic factor — objective 2

Maths4U Original · Short practice

Consider \(E=15 x^{4} y + 20 x^{3} y^{2}\).

Find the exponent of x in the greatest common monomial factor.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Extracting a common algebraic factor — objective 2

Maths4U Original · Short practice

Consider \(E=6 x^{2} y + 12 x y^{2}\).

Find the exponent of x in the greatest common monomial factor.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Apply

Extracting a common algebraic factor — objective 3

Maths4U Original · Short practice

Consider \(E=6 x^{2} y + 12 x y^{2}\).

After taking out \(6x^{1}y\), find the coefficient of y inside the bracket.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Extracting a common algebraic factor — objective 3

Maths4U Original · Short practice

Consider \(E=4 x^{3} y + 6 x^{2} y^{2}\).

After taking out \(2x^{2}y\), find the coefficient of y inside the bracket.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Check understanding

Extracting a common algebraic factor — objective 4

Maths4U Original · Short practice

Consider \(E=4 x^{3} y + 6 x^{2} y^{2}\).

Evaluate E at \(\displaystyle x=2, y=3\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Fresh review variant

Extracting a common algebraic factor — objective 4

Maths4U Original · Short practice

Consider \(E=9 x^{4} y + 12 x^{3} y^{2}\).

Evaluate E at \(\displaystyle x=2, y=3\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Try written exam-style problems →