Expanding two brackets · Short practice

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Recall

Expanding two brackets — objective 1

Maths4U Original · Short practice

Let \(P(x)=\left(x - 3\right) \left(4 x + 4\right)\).

Find the \(\displaystyle x^{2}\) coefficient in the expansion.

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

Expanding two brackets — objective 1

Maths4U Original · Short practice

Let \(P(x)=\left(x - 4\right) \left(x + 5\right)\).

Find the \(\displaystyle x^{2}\) coefficient in the expansion.

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

Expanding two brackets — objective 2

Maths4U Original · Short practice

Let \(P(x)=\left(x - 4\right) \left(x + 5\right)\).

Find the x coefficient in the expansion.

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

Expanding two brackets — objective 2

Maths4U Original · Short practice

Let \(P(x)=\left(x - 5\right) \left(2 x + 6\right)\).

Find the x coefficient in the expansion.

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

Expanding two brackets — objective 3

Maths4U Original · Short practice

Let \(P(x)=\left(x - 5\right) \left(2 x + 6\right)\).

Find the constant term in the expansion.

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

Expanding two brackets — objective 3

Maths4U Original · Short practice

Let \(P(x)=\left(x - 6\right) \left(3 x + 7\right)\).

Find the constant term in the expansion.

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

Expanding two brackets — objective 4

Maths4U Original · Short practice

Let \(P(x)=\left(x - 6\right) \left(3 x + 7\right)\).

Find P(1).

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

Expanding two brackets — objective 4

Maths4U Original · Short practice

Let \(P(x)=\left(x - 2\right) \left(4 x + 8\right)\).

Find P(2).

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 →