Suppose $p(x)$ is a polynomial of smallest possible degree such that: $\bullet$ $p(x)$ has rational coefficients $\bullet$ $p(-3) = p(\sqrt 7) = p(1-\sqrt 6) = 0$ $\bullet$ $p(-1) = 8$ determine the value of $p(0)$.

Time remaining01: 45: 56complete the proof to show that abcd is a parallelogram.4- 2-32-4--b(-3,4)the-4 + 23+ 2unthe slope of bc isthe slope of ad is -) = 4+2 =-the slope of cd is 27 434) = 2 + 1 -the slope of ba is - - 4+2 -bc | ad and cd / ba because the+2-2c(22)432-3=-6.= -6.-$ 4342 -1a(2-2)therefore,positeabcd is a parallelogram because both pairs (sides are parallel.d(3,-4)save and exitnextsubmitmark this and retum