Term 1 Assigned Work Questions 1. Expand and simplify 3(x - 2)(2x + 1) -(3x -4)(2x+ 5). 2. Divide 6x4 -8x2 + 2x-11 by 2x-3. 3. When the polynomial 2x' + bx2 -3x -8 is divided by x + 2 the remainder is 10. (a) Determine the value of b. (b) Determine the remainder when the polynomial is divided by 2x - 1. 4. The polynomial 2x + bx2 - 3x -8 when divided by x - 1 and x + 2 has the same remainder. (a) Determine the value of b. (b) Determine the remainder. ..E.... 5. Factor 6x -8x2 - 24x + 32. {Common factor, factor by grouping or use Factor Theorem) 6. Sketch the graph of the function f(x) =-3(x+1)(x-1)(xx-4)(x+3). 7. Given the graph (to the right) of a polynomial function, determine its equation. ..........- ST. 8 . Solve 6x4 -1 1x' =7x2 -13x -3, express all roots as non- decimal exact values in simplest form. HINT: If using the Factor Theorem try values between and including -1 to - 2 or 1 to 2. 9. Solve x3 +x2 516x - 20. 10. Sketch the graph of the function f(x) = (x-2)(x-3)(x+4) _x -x2 -14x + 24 (x+ 3)(x-2) * + x - 6 and its asymptote(s). Label the graph of the function with its equation, asymptote(s) with their equation(s), intercept(s) with their non-decimal exact value(s) in simplest form and holes in the graph of the function with their coordinates as non-decimal exact value(s) in simplest form. 11. Solve - x- - 3x- 51 1 x2 + 3x- 10 x+5 2-x , express root(s) as non-decimal exact values in simplest form. 12. Solve x - 12x + 8 -S-1. x2 +3x -4 x - 1 13. Given f (x) = x3 and g(x) = - 2 4(x -1)] -5. a) Describe the transformations that must be applied to the graph of function f to obtain the graph of function g b) Sketch the graph of function g. MHF4U - TI - Assigned Work - 20222023$1.docx Page I of 214. Given f (x) = x3+ x, a) If g(x) = -3f[-2(x + 1)] + 4, write the equation of g (x) in explicit expanded simplest form. b) If h(x) = 4([-2(x + 6)]3 + [-2(x +6)]) + 9, describe the transformations that must be applied to the graph of function f to obtain the graph of function h. Answers 1 1273- 18*2 - 28 x+14 2 ) 3 x 31 21 7 6 1 - 15 4 ) 01 3 6) - 6 5) 2 ( x- 2) ( 2 + 2) 03x -4) 6