Geometric Construction 5

Construct the graph of the cubic polynomial using Horner's method p(x) = ax³ + bx² + cx + d = (((ax + b)x + c)x + d

Construct the curve given by the polar equation r = cos 3t

Construct the curve given by the polar equation r = sin t/3

Construct the ellipse given by the parametric equations x = a cos t y = b sin t

Construct the hyperbola given by the parametric equations x = a sec t y = b tan t

Construct the Bowditch curve (also known as the Lissajous curve) given by the parametric equations x = sin 11t y = cos 10t

Construct the curve given by the polar equation r = cos 7t/2 + 1/4

Construct the curve given by the polar equation r = 2 - cos 3t - cos (31/32)*3t

Given constants a, r, s, t, construct the graph of the polynomial y = a(x-r)(x-s)(x-t)