question archive (A) Determine the vertex and intercepts for the following quadratic function; f(x) = x2 −6x−16

(A) Determine the vertex and intercepts for the following quadratic function; f(x) = x2 −6x−16

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(A) Determine the vertex and intercepts for the following quadratic function; f(x) = x2 −6x−16. [2 marks]

(B) Sketch the graph of the following polynomial function; f(x) = (x−1)2(x−3)3(x + 4)

[5 marks]

(C) Given that the roots of x2 + 3x + 17 = 0 are α and β respectively. Find the quadratic equation whose roots are α3 + β3 and α β + β α .

[5 marks]

(D) Given that set A = {1,2,3} and set B = {2,4,6}. Determine whether the operation; A?B = P(A)−P(B) is binary on the universal power set, P(B).

pur-new-sol

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