Hey guys,

I'm new and find your abode in great despair..

Im calling all maths guru...

Any chance the maths gurus can help me answer these questions and show me the working out for each of them?

They are like the last 4 questions I have(the hardest ones)

1 a. P(x) is a polynomial.

If P (a) =0

State the factor theorem.

b. Use the factor theorem to show that (x-2) is a factor of x3-x2-7x+2

c. Substitute x=2, x=3, and x=1 and x= -1 into the polynomial P(x)= x3-4x2+x+6

2 Express the quadratic x2-2x-3 in the form of (x+p)2+q where p and q are constants.

a. Hence or otherwise find the coordinates of the vertex of the parabola y= x2-2x-3.

b. Find the roots of x2-2x-3=0 and hence sketch the parabola y= x2-2x-3.

3b. Express the following quadratics in the completed square form and solve them.

i. X2-4x-3=0

ii. X2+6x+4=0