How do you use synthetic division and the remainder theorem to find the indicated function value $f(x)=x^4+4x^3+5x^2-3x-4$ ; f(6)?

Question

2953 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-10-16T18:19:06

See the explanation section, below.

Here is the division $f(x)/(x-6)$ using synthetic division:

${: (6,"|",1,4,5,-3,-4), ( " ",|," ",36,240,1470,8802), (" "," --","--","---","----", "-----","-------"), (" "," ",6,40,245,1467,8798) :}$

The remainder is $8,798$ and it is also $f(6)$

So $f(6) = 8,798$

How do you use synthetic division and the remainder theorem to find the indicated function value f(x)=x^4+4x^3+5x^2-3x-4f(x)=x^4+4x^3+5x^2-3x-4; f(6)?