MATH! SYNTHETIC DIVISION EASY 10 POINTS!?

Question

f(x) = 2x^3 - 6x^2 + 5x + 4

SHOW WORK! THANKS!

Answer 1

Given that

If p/q is a rational zero, then p is a factor of 4 and q is a factor of 2.

The possible values of p are   ± 1,  ± 2, ± 4

The possible values for q are ± 1 , ± 2

By the Rational Roots Theorem, the only possible rational roots are, p/q = ± 1,   ± 2,   ±4

Make a table for the synthetic division and test possible real zeros.

p/q	2	-6	5	4
1	2	-4	1	5
2	2	-2	1	6
4	2	2	13	56
-1	2	-8	13	-9
-2	2	-10	25	-46
-4	2	-14	61	-240

Therefore there is no possible rational zero for the given polynomial function.