Factors and unknown coefficients: check 1
Difficulty: ★★☆Maths4U Original · Short practice
P(x)=\(k x + x^{3} + x^{2} + 399\). It is given that \(x - 1\) is a factor. Let u=2.
Find k.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Factors and unknown coefficients: review variant 1
Difficulty: ★★☆Maths4U Original · Short practice
P(x)=\(k x + x^{3} + 880\). It is given that \(x - 2\) is a factor. Let u=3.
Find k.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Factors and unknown coefficients: check 2
Difficulty: ★★☆Maths4U Original · Short practice
P(x)=\(k x + x^{3} + 880\). It is given that \(x - 2\) is a factor. Let u=3.
Find the largest real root of P.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Factors and unknown coefficients: review variant 2
Difficulty: ★★☆Maths4U Original · Short practice
P(x)=\(k x + x^{3} - x^{2} + 1449\). It is given that \(x - 3\) is a factor. Let u=1.
Find the largest real root of P.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Factors and unknown coefficients: check 3
Difficulty: ★★☆Maths4U Original · Short practice
P(x)=\(k x + x^{3} - x^{2} + 1449\). It is given that \(x - 3\) is a factor. Let u=1.
Find the negative real root of P.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Factors and unknown coefficients: review variant 3
Difficulty: ★★☆Maths4U Original · Short practice
P(x)=\(k x + x^{3} - 2 x^{2} + 2112\). It is given that \(x - 4\) is a factor. Let u=2.
Find the negative real root of P.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Factors and unknown coefficients: check 4
Difficulty: ★★☆Maths4U Original · Short practice
P(x)=\(k x + x^{3} - 2 x^{2} + 2112\). It is given that \(x - 4\) is a factor. Let u=2.
Find the remainder on division by x−u.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Factors and unknown coefficients: review variant 4
Difficulty: ★★☆Maths4U Original · Short practice
P(x)=\(k x + x^{3} + x^{2} + 575\). It is given that \(x - 1\) is a factor. Let u=3.
Find the remainder on division by x−u.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.