Question

If f(x)=2x^4-9x^3+6x-5, then use synthetic division to find f(6)

What is synthetic division? How do I solve this?

Answer 1

Hmmmm. I don't see how synthetic division can help on this. f(6) is just plug in 6 for x and grind.

Synthetic division helps dividing polynomials, which is not here .

Answer 2

6 │ 2 -9 0 6 -5
...--------------
......12 18 108684
....2 3 18 114 679

It is so hard to line things up properly,
in the last two rows, the 3 is under the 12, 18's line up, 108 and 104 line up.

the answer is the last number, namely 679