6. Let p(x) = 3x4 + 7x2 + 4x + 1. (a) Write the polynomial p(x) in the telescoping form, showing each step of the factorisation. (b) Evaluate the polynomial p(x) when a = 8 by completing the following memory table for Horner's algorithm (add more rows if needed). Hint: first identify N, x and the coefficients A(0), A(1), ..., A( N). Instruction K N-K A(N-K) S 1. S + A(N) 2. For K = 1 to Na. S + x*S+ A(N-K) 1 (c) With no calculation, convert 30741 to base 10, and explain why your answer is correct