Polynomial division · Short practice

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Recall

Polynomial division by a linear factor — objective 1

Maths4U Original · Short practice

\(\displaystyle P(x)=\)\(4 x^{3} + 9 x^{2} - 33 x + 16\). Divide by \(x - 2\), where \(\displaystyle d=2\).

Find the \(\displaystyle x^{2}\) coefficient of the quotient.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Fresh review variant

Polynomial division by a linear factor — objective 1

Maths4U Original · Short practice

\(\displaystyle P(x)=\)\(x^{3} + 15 x^{2} - 52 x + 13\). Divide by \(x - 3\), where \(\displaystyle d=3\).

Find the \(\displaystyle x^{2}\) coefficient of the quotient.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Method

Polynomial division by a linear factor — objective 2

Maths4U Original · Short practice

\(\displaystyle P(x)=\)\(x^{3} + 15 x^{2} - 52 x + 13\). Divide by \(x - 3\), where \(\displaystyle d=3\).

Find the x coefficient of the quotient.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Fresh review variant

Polynomial division by a linear factor — objective 2

Maths4U Original · Short practice

\(\displaystyle P(x)=\)\(2 x^{3} + 11 x^{2} - 73 x + 8\). Divide by \(x - 4\), where \(\displaystyle d=4\).

Find the x coefficient of the quotient.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Apply

Polynomial division by a linear factor — objective 3

Maths4U Original · Short practice

\(\displaystyle P(x)=\)\(2 x^{3} + 11 x^{2} - 73 x + 8\). Divide by \(x - 4\), where \(\displaystyle d=4\).

Find the quotient constant.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Fresh review variant

Polynomial division by a linear factor — objective 3

Maths4U Original · Short practice

\(\displaystyle P(x)=\)\(3 x^{3} + 14 x^{2} - 36 x + 13\). Divide by \(x - 2\), where \(\displaystyle d=2\).

Find the quotient constant.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Check understanding

Polynomial division by a linear factor — objective 4

Maths4U Original · Short practice

\(\displaystyle P(x)=\)\(3 x^{3} + 14 x^{2} - 36 x + 13\). Divide by \(x - 2\), where \(\displaystyle d=2\).

Find the remainder.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Fresh review variant

Polynomial division by a linear factor — objective 4

Maths4U Original · Short practice

\(\displaystyle P(x)=\)\(4 x^{3} + 9 x^{2} - 58 x + 7\). Divide by \(x - 3\), where \(\displaystyle d=3\).

Find the remainder.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

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