Algebra 10 – Generating a cubic equation given the roots

You’ll learn

• Predict a polynomial's shape from its degree and the sign of its leading term
• Build a cubic in ax³ + bx² + cx + d = 0 form from its three roots
• Spot a double root where the graph's turning point sits on the x-axis
• Fix both the shape and the y-intercept with a single scaling multiplier