Now factor the trinomial

u²29u+100,

and then substitute

u=x².

u229u+100	=	(u25)
	=	(x225)

To factor the polynomial

P(x) =x⁵25x³+144x,

first factor out the common factor.

x⁵25x³+144x=x

To evaluate

P(2.9)

and

P(3.8),

we will use synthetic division and examine the remainder. We start with evaluating

P(2.9).

Perform the synthetic division with

c=2.9.

2.9	1	0	1	1	7
	1

Therefore,

P(2.9) = .