Answer:
q = 1 , r = -5
other factors of polynomial:
(2x - 1) & (x + 2)
Step-by-step explanation:
In the first part, substitute x = 1 make it equal to 0.
Substitute x = 2 and make it equal to 12.
Rearrange both, until you have two linear equations.
Solve the set of simultaneous equation to find q and r .
Second part place the value of q and r to have the full polynomial.
Carry out long division, dividing the polynomial by the factor that's stated in the question (x - 1) and you will have a quadratic equation.
Factorise the quadratic equation to have the two other factors of the polynomial.
Hope this helps:))
