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If (x3) is a factor of 2x3+3x217x30...

If (x3) is a factor of 2x3+3x217x30, find the remaining factors.

A.

(2x - 5)(x - 2)

B.

(2x - 5)(x + 2)

C.

(2x + 5)(x - 2)

D.

(2x + 5)(x + 2)

Correct answer is D

Divide 2x3+3x217x30 by (x3). You get 2x2+9x+10.

Factorizing, we have 2x2+9x+10=2x2+4x+5x+10

2x(x+2)+5(x+2)

= (2x+5)(x+2)