Pascal coefficients and finite binomial expansion: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider \(\left(5 x + 2\right)^{7}\). Work without a calculator.
Find the coefficient of \(\displaystyle x^0\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Pascal coefficients and finite binomial expansion: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider \(\left(2 x + 3\right)^{4}\). Work without a calculator.
Find the coefficient of \(\displaystyle x^0\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Pascal coefficients and finite binomial expansion: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider \(\left(2 x + 3\right)^{4}\). Work without a calculator.
Find the coefficient of \(\displaystyle x^1\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Pascal coefficients and finite binomial expansion: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider \(\left(3 x + 1\right)^{5}\). Work without a calculator.
Find the coefficient of \(\displaystyle x^1\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Pascal coefficients and finite binomial expansion: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider \(\left(3 x + 1\right)^{5}\). Work without a calculator.
Find the coefficient of \(\displaystyle x^2\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Pascal coefficients and finite binomial expansion: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider \(\left(4 x + 2\right)^{6}\). Work without a calculator.
Find the coefficient of \(\displaystyle x^2\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Pascal coefficients and finite binomial expansion: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider \(\left(4 x + 2\right)^{6}\). Work without a calculator.
Find the coefficient of \(\displaystyle x^3\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Pascal coefficients and finite binomial expansion: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider \(\left(5 x + 3\right)^{7}\). Work without a calculator.
Find the coefficient of \(\displaystyle x^3\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.