Quadratic factorisation and roots · Short practice

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Recall

Quadratic factorisation and roots — objective 1

Maths4U Original · Short practice

Let \(P(x)=3 x^{2} + 11 x - 20\).

Find the positive solution of \(\displaystyle P(x)=0\).

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

Quadratic factorisation and roots — objective 1

Maths4U Original · Short practice

Let \(P(x)=4 x^{2} + 19 x - 30\).

Find the positive solution of \(\displaystyle P(x)=0\).

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

Quadratic factorisation and roots — objective 2

Maths4U Original · Short practice

Let \(P(x)=4 x^{2} + 19 x - 30\).

Find the negative solution.

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

Quadratic factorisation and roots — objective 2

Maths4U Original · Short practice

Let \(P(x)=5 x^{2} + 4 x - 12\).

Find the negative solution.

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

Quadratic factorisation and roots — objective 3

Maths4U Original · Short practice

Let \(P(x)=5 x^{2} + 4 x - 12\).

Find the constant term of P.

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

Quadratic factorisation and roots — objective 3

Maths4U Original · Short practice

Let \(P(x)=2 x^{2} + 3 x - 9\).

Find the constant term of P.

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

Quadratic factorisation and roots — objective 4

Maths4U Original · Short practice

Let \(P(x)=2 x^{2} + 3 x - 9\).

Find the sum of the two roots.

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

Quadratic factorisation and roots — objective 4

Maths4U Original · Short practice

Let \(P(x)=3 x^{2} + 8 x - 16\).

Find the sum of the two roots.

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 →