Solve the equation 3x² - x - 7 = 0 and give your answer correct to two decimal places.

For the following frequency distribution and taking suitable scales on both the axes, draw a histogram.

Use the graph drawn to estimate the value of the mode.

In the given figure, PA = 14 cm, PC = 16 cm and CD = 18 cm, find the length of AB.

If 2x³ + ax² + bx - 6 has a factor (2x + 1) and leaves a remainder 12 when divided by (x + 2). Calculate the values of a and b hence factorise the given expression completely.