Divide using synthetic division

2x^2 + x - 10 by x - 2

a. 2x - 5
b. 2x + 5
c. x - 5
d. x + 5

Question

Divide using synthetic division

2x^2 + x - 10  by x - 2

a. 2x - 5
	b. 2x + 5
	c. x - 5
	d. x + 5

anonymous · Answer

do it with your eyeballs

anonymous · Answer

think about what you would have to multiply x - 2 by to get 
$$2x^2+x-10$$

anonymous · Answer

first term has to be 2x
last term has to be 5

anonymous · Answer

alright minus or plus

anonymous · Answer

plus

anonymous · Answer

The 2 should be factored out so that you work with a polynomial having a leading coefficient of 1: P(x) = 2*(x^2 + (1/2)*x - 5.  
Set up your synthetic division as follows:

2) 1   (1/2)   -5
             2      5
    1    5/2      0.

The quotient is x + 5/2.  We need to double that to account for the deuce we factored out earlier.

The answer is 2x + 5.