7) How do you know that (x - 4) can't be a factor of x - 18x + 6 8) A rectangle has dimensions 2x + 1 and 3x - 2, where x > 0. Determine the increase in its area if each dimension is increased by 1.Expand and simplify. Q1. a) 2x(x - 5) b) (a + 7) (a - 9) 2) Factor. a) -8x2 + 4x b) 3x2 - 6x + 9 c) 5m - 10m - 5 Q3. For what values of & is it possible to divide out a common factor from 6x2 + x - 12, but not from 6x2 + kx + 4? Explain. Q4. Factor x* - 13x + 36. Consider the binomials 2x + 4 and 3x + 6. The greatest common factor of the first pair of terms is 2 and of the second pair is 3. 5) a) Determine the product of the polynomials. b) Is the greatest common factor of the terms of their product equal to the product of 2 and 3? c) Why might you have expected the answer you got in part (b)? 6) The formula for the surface area of a cylinder is SA = 2ur + 2urh. A cylinder has a height of 10 units and a radius of r units. Determine a factored expression for its total surface area