The binomial x + 3 is one factor of 2x3 - x2 - 18x + 9. Use complete sentences to explain how you use (either) polynomial division or synthetic division to find the remaining factors. List the remaining factors.

Question

anonymous · Answer

It is difficult to explain both synthetic division and polinomials division in here. Please refer to http://www.trans4mind.com/personal_development/mathematics/polynomials/hornerMethod.htm

campbell_st · Answer

if you do the polynomial division or synthetic division you will have a quadratic as the quotient... so then it will be simply a case of factoring the quadratic... 

do you know how to do polynomial division..?

anonymous · Answer

no

campbell_st · Answer

do you know about synthetic division...?

campbell_st · Answer

ok.... if that is a struggle you can factor the cubic by grouping in pairs

start by pairing up things that look similar 

$$2x^3 - x^2 - 18x + 9 = (2x^3 - 18x) - (x^2 - 9)$$does that make sense...?