Solve Quadratic Equations by Factorisation Diagnose

i) Solve the equation x² + x – 42 = 0, by factorisation. Give the smallest value first. x = π + − ÷ × < > ≤ ≥ π or x = π + − ÷ × < > ≤ ≥ π

ii) The graph of y = f(x) is shown above.

a) Write down the coordinates of the turning point of graph. Type your answer without spaces.  π + − ÷ × < > ≤ ≥ π

b) Write down the roots of f(x) = 0. Give the smallest value first. x = π + − ÷ × < > ≤ ≥ π and x = π + − ÷ × < > ≤ ≥ π

c) Write down the y-intercept of the graph. y = π + − ÷ × < > ≤ ≥ π