Grade 11 Math Challenge

Simplify the expression: 3x^2 + 2x - 5

Find the roots of the quadratic equation: x^2 - 4x + 4 = 0

Evaluate the exponential function: f(x) = 2^x when x = 3

Solve the trigonometric identity: sin^2(x) + cos^2(x) = 1

Calculate the probability of rolling a prime number on a fair six-sided die

Factorize the expression: x^2 + 5x + 6

Determine the vertex of the parabola given by the equation: y = x^2 - 4x + 3

Simplify the exponential expression: e^(2ln(x))

Prove the trigonometric identity: tan(x) = sin(x)/cos(x)

Find the mean of the following data set: {2, 4, 6, 8, 10}