Maths4U Original · Short practice

Let \(\displaystyle P(x)=\)\(\left(x - 23\right) \left(x - 1\right) \left(x + 3\right)\) and \(\displaystyle u=2\).

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

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

Maths4U Original · Short practice

Let \(\displaystyle P(x)=\)\(\left(x - 24\right) \left(x - 2\right) \left(x + 4\right)\) and \(\displaystyle u=3\).

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

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

Maths4U Original · Short practice

Let \(\displaystyle P(x)=\)\(\left(x - 24\right) \left(x - 2\right) \left(x + 4\right)\) and \(\displaystyle u=3\).

Find the coefficient of x in P.

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

Maths4U Original · Short practice

Let \(\displaystyle P(x)=\)\(\left(x - 25\right) \left(x - 3\right) \left(x + 5\right)\) and \(\displaystyle u=4\).

Find the coefficient of x in P.

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

Maths4U Original · Short practice

Let \(\displaystyle P(x)=\)\(\left(x - 25\right) \left(x - 3\right) \left(x + 5\right)\) and \(\displaystyle u=4\).

Find the constant term in P.

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

Maths4U Original · Short practice

Let \(\displaystyle P(x)=\)\(\left(x - 26\right) \left(x - 1\right) \left(x + 2\right)\) and \(\displaystyle u=5\).

Find the constant term in P.

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

Maths4U Original · Short practice

Let \(\displaystyle P(x)=\)\(\left(x - 26\right) \left(x - 1\right) \left(x + 2\right)\) and \(\displaystyle u=5\).

Find P(u).

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

Maths4U Original · Short practice

Let \(\displaystyle P(x)=\)\(\left(x - 27\right) \left(x - 2\right) \left(x + 3\right)\) and \(\displaystyle u=1\).

Find P(u).

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