Mathematics Challenge

Solve the quadratic equation: 2x^2 + 5x - 3 = 0

• x = 1, -2

• x = -4, 2

• x = 3, -1

• x = 0.5, -3

Factorize the following expression: x^2 + 7x + 10

• (x + 2)(x + 5)

• (x + 3)(x + 4)

• (x + 6)(x + 7)

• (x + 1)(x + 10)

Find the derivative of f(x) = 3x^2 + 4x - 2

• 6x + 4

• 2x + 4

• 3x^2 + 4

• 6x - 4

Simplify the algebraic expression: (2x + 3)(x - 4)

• 2x^2 - 5x - 12

• 2x^2 - 3x - 12

• 2x^2 + 5x - 12

• 2x^2 - 5x + 12

Integrate the function: ∫(2x + 5) dx

• 2x^2 + 5

• x^2 + 5

• 2x^2 + 5x + C

• x^2 + 5x + C

Solve the system of equations: 2x + y = 5, x - 3y = -2

• x = 15/7, y = 9/7

• x = 5/7, y = 3/7

• x = 4/7, y = 2/7

• x = 3/7, y = 1/7

Determine the vertex of the parabola y = x^2 - 4x + 3

• (2, 1)

• (1, 2)

• (3, 5)

• (0, 3)

Evaluate the limit: lim(x->2) (3x^2 - 2x + 1)

• 9

• 11

• 7

• 4

Simplify the logarithmic expression: log(base 2) 16

• 4

• 2

• 12

• 8

Find the area under the curve y = x^2 from x = 0 to x = 3

• 12

• 6

• 15

• 9