Question

la1" title="x {}^{3} - 3x {}^{2} + 2x = 336" alt="x {}^{3} - 3x {}^{2} + 2x = 336" align="absmiddle" class="latex-formula">

x=?​

Answer 1

Answer:

x = 8

Step-by-step explanation:

x³ - 3x² + 2x - 336 = 0

Find one factor of the polynomial

That's

x - 8

because when its value is equated to zero substituted into the polynomial will give you zero

Factorize x - 8 out

We have

(x - 8) ( x² + 5x + 42) = 0

x - 8 = 0

x = 8

x² + 5x + 42 = 0

Since the roots of this quadratic equation are complex and are not real numbers

x = 8

Hope this helps you