algebraic expressions, question 11, grade 9

21/10/2016 Grade 9, Uncategorized 909

11) Given:

A(x)={\left({x-1}\right)^3}-9(x-1)

and 

B(x)=2{x^2}+2x-4

  1. Write A(x) as a product of three factors.
  2. Verify that B(x) = 2(x-1)(x+2).
  3. let M(x) = 

    \frac{{B(x)}}{{(x-1)(x+2)(x-4)}}

i) Determine the domain of definition of M(x) then simplify it.

ii) Solve M(x) = 

\frac{2}{3}

 and  M(x) = x+4

iii) Verify that M(x)-M(x+1) =

\frac{2}{{(x-4)(x-3)}}