Question 1093216

Find the remainder when f(x) is divided by (x - k).

f(x)= 4x^3-6x^2+3x+1 ; k= -2
<pre>Just simply use the remainder theorem, which states that f(- 2) will give you the remainder.
{{{matrix(1,3, f(x), "=", 4x^3 - 6x^2 + 3x + 1)}}} becomes:
{{{matrix(1,3, f(- 2), "=", 4(- 2)^3 - 6(- 2)^2 + 3(- 2) + 1)}}}
{{{matrix(1,3, f(- 2), "=", 4(- 8) - 6(4) - 6 + 1)}}}
{{{matrix(1,5, f(- 2), "=", - 32 - 24 - 6 + 1, "=", highlight(- 61))}}}