Question

3 - - 3. Show that (x - 2), (x + 3) and (x - 4) are factors of x - 3x - 10x + 24.

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Answer 1

Step-by-step explanation:

Let f(x) = 2 ^ 3 - 3x ^ 2 - 10x + 24 be the given polynomial.

By factor theorem,

(x-2), (x+3)and (x-4) are the factor of f(x).

If f(2), f(-3)and ƒ(4) are all equal to zero. Now,

ƒ(2) = (2)³ — 3(2)² — 10(: -

- 8 - 12 20 + 24

= 32 32

= 0