Roots of Polynomial Equations

Worked examples (6)

• 1Sum and product of roots of a quadratic
• 2Reading off the three relations for a cubic
• 3Sum of squares of the roots
• 4Sum of reciprocals of the roots
• 5Sum of cubes via the substitution method
• 6A symmetric function of a quartic's roots

Model answers (6)

• ✓Model answer 1
• ✓Model answer 2
• ✓Model answer 3
• ✓Model answer 4
• ✓Model answer 5
• ✓Model answer 6

Worked examples (6)

• 1Roots multiplied by a constant
• 2Roots shifted by a constant
• 3Reciprocal roots — the reverse-coefficients shortcut
• 4A combined transformation
• 5Squared roots via the Vieta assembly method
• 6Squared roots by squaring the substitution

Model answers (6)

• ✓Model answer 1
• ✓Model answer 2
• ✓Model answer 3
• ✓Model answer 4
• ✓Model answer 5
• ✓Model answer 6