Question

Find the remainder when x³-2x²+4x-2 is divided by (x-1/2)​

Answer 1

-3/8

Explanation:

Let's assume x - 1/2 is a zero of the polynomial :

• Substitute x = 1/2 (the zero) in the equation
• x³ - 2x² + 4x - 2
• (1/2)³ - 2(1/2)² + 4(1/2) - 2
• 1/8 - 2(1/4) + 2 - 2
• 1/8 - 1/2
• -3/8

-3/8 is the remainder.

Answer 2

`\sf \bf {remainder}: -(3)/(8)`

In order to find remainder:

Follow this short technique:

Set the divisor which is x-½ to zero.

x - 1/2 = 0

x = 1/2

Then insert this following into dividend.

• x³ -2x² + 4x - 2

insert x = ½

• (½)³ - 2(½)² + 4(½) -2

simplify

• -3/8