POLYNOMIAL (CONTINUED) : LSUS

FURTHER MATHEMATICS SSS2 FIRST TERM

WEEK 4

POLYNOMIAL (CONTINUED)

Content

Factorization of polynomial

Show that x - 1 is a factor off(x) = 2x3 + 3x2 – 5x – 6

Solution

f(-1)   = 2(-1)3 + 3(-1)2 – 5(-1) – 6

          = -2 + 3 + 5 – 6

Hence x + 1 is a factor of f(x)

Show that x + 1 is a factor of f(x) = x3 + 2x2 – 5x – 6

Hence factorise f(x) completely.

General Evaluation

(1) When x2 + bx + 2 is divided by x + 3 the remainder is 5. Find the.... View More

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