Question

question
use synthetic division to find the result when $3x^3 - 16x^2 + 25x - 10$ is divided by $x - 2$.
answer
attempt 1 out of 2

Explanation:

Step1: Identify root & coefficients

Root of $x-2$ is $2$; coefficients: $3, -16, 25, -10$

Step2: Bring down leading coefficient

$\downarrow \quad 3$

Step3: Multiply & add next coefficient

$2 \times 3 = 6$; $-16 + 6 = -10$

Step4: Multiply & add next coefficient

$2 \times (-10) = -20$; $25 + (-20) = 5$

Step5: Multiply & add last coefficient

$2 \times 5 = 10$; $-10 + 10 = 0$

Step6: Form quotient polynomial

Result is $3x^2 -10x +5$ (remainder $0$)

Answer:

$3x^2 - 10x + 5$