some simple questions.from my exam(roots ,partial fractions ..)

hi guys i had an exam today and just wanted you guys to give me the correct answer for it so i can see how i went.

i'm sure its really easy for you guys(Wink)

1) if and are the roots of the equation x^2 - 5x + 4 = 0 find

i) ii) iii) the equation with roots and

2) the curve has factors and and cuts the y-axis at . Find the values of a,b,c

3) Express in partial fractions in partial fractions.

4) Simplify , rationalising the denominator.

thanks for the help!