exam Maths Puzzle Numerical Ability

For the general cubic polynomial f(x)= ax^3 + bx^2 + cx + d (a different from 0).
Find conditions on a, b, c, and d to ensure that f is always increasing or always decreasing on (-00, +00).

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exam Other Question

Evaluate the discriminant b^2-4ac. Then use the answer to state how many real-number solutions exist for the equation.
〖y=x〗^2+8x+16
Can someone please help me with this problem: "Write an equivalent exponential expression for 16^2x with a base of 2." Thank you!