Using Roots to Construct Rough Graphs of Polynomials Exercises

Graph y = x³ + 4x² – 7x – 10.

Hint

P(2) = (2)³ + 4(2)² – 7(2) – 10 = 0

Graph f(x) = -x³ – 2x² + x + 2.

Hint

f(1) = -(1)³ – 2(1)² + (1) + 2 = 0

Graph y = x⁴ – 5x² + 4.

Hint

P(1) = (1)⁴ – 5(1)² + 4 = 0

Graph y = -x⁵.

Hint

P(0) = -(0)⁵

Graph y = 2x³ + x² – 2x – 1.

Hint

P(1) = 2(1)³ + (1)² – (2) – 1 = 0

Graph y = x⁴ – 13x² + 36.

Hint

P(2) = (2)⁴ – 13(2)² + 36 = 0

Graph f(x) = x⁴ – 10x² + 9.

Hint

f(1) = (1)⁴ – 10(1)² + 9 = 0