CUBIC EQUATIONS AND THEIR FACTORIZATION, GRAPH OF CUBIC EQUATIONS

FURTHER MATHEMATICS SSS2 FIRST TERM

WEEK 5

CUBIC EQUATIONS AND THEIR FACTORIZATION, GRAPH OF CUBIC EQUATIONS

Contents

Polynomials of degree three have the general form y = ax³ + bx² + cx + d(a ≠ 0). The curve is usually called a cubical parabola.

A cubical parabola has two shapes depending on whether a > 0 or a < 0.

General Evaluation

(1) Factorise the following completely

(a) x³ + 10x² + 23x + 14                               (b) x⁴ - 1

 

Weekend Assignment

Given that a cubic equation x³ + 2x² – 19x – 20 = 0 has 4 as one its roots, find the

(1) Second root                (a) -1           (b) 1            (c)…