Please solve this problem using synthetic division?

Question

z(x)=x^5+7x^4-4x^2-5x+3

Answer 1

I think this is what you are looking for. It's hard to display with this solfware.

n - some number.
x - the x value.
(x - n) - divide by it.

z(x)=x^5+7x^4-4x^2-5x+3

x^5+7x^4-4x^2-5x+3 ÷ (x - n)



..............x^4 + (7-n)x^3 + (4+n)x-² - 5
-------------------------------------------
(x - n)│x^5+7x^4 - 4x^2 - 5x+3
...........----------------------------------
..............x^5 + nx^4
.....................--------------
....................(7-n)x^4 - 4x²
....................(7-n)x^4 - nx^3
...................-----------------------
.....................(4+n)x^-1 - 5x
.....................(4+n)x^-1 +nx^-2
.....................-----------------------
.......................(-5x - nx^-²) + 3
.......................(-5x - 5n)
...........-------------------------------
....................... -nx^-2 +5n + 3

Answer 2

I think you can't solve that since you did not state what you are going to divide that function by...

Just my opinion

=)