Find the quotient using long division. 21. 3x+11x+6 x+3 3x+11x+6 (Simplify your answer.) x+3 22. First...
Divide using long division. State the quotient, q(x), and the remainder, r x). (9x3+12x +6x-27) (3x-3) (x3 + 12x2+6x-27)+ (3x-3) (Simplify your answers. Do not factor. Use integers or fractions for any numbers in the expressions.)
32. Multiply or find the special product (x-3) a. - 9x +27x+27 b. x-9x®-27x-27 c. X-9x +27x-27 d. x +9x +27x+27 e. +9x°-27x+27 33. Find the product. The expression is not polynomial, but the formula can still be used.) (3+ *)(3-6) a. 3-X b. 9+x c. d. e. 1-9 9-X 3+x 34. Completely factor the difference of two squares. - 16 a. (x+4)-(-4) b. (x+4) c. (x+4)(x-4) d. (x+4)+(x-4) c. (x-4) 35. Factor the perfect square trinomial. -16x + 64...
Answer ALL questions. (20 marks) 1. Find the quotient and remainder by using long division. (6x + 4x* + 3) + (1 + 2x) 2. Given that P(x) = ax2 + 5x - 1 and Q(x) = bx + 4. If P(x). Q(x) = 3x2 + 17x2 + 19x - 4, find the values of a and b. 3. The function H(x) = x3 + ax? – bx + 5 gives a remainder of 11 when divided by x +...
63 only Using the Factor Theorem In Exercise use synthetic division to show that x is a soluti third-degree polynomial equation, and use the factor the polynomial completely. List all real of the equation. 59. x3 – 7x + 6 = 0, x = 2 60. x3 – 28x – 48 = 0, x = -4 61. 2x3 – 15x2 + 27x – 10 = 0, x = 62. 48x3 – 80x2 + 41x – 6 = 0, x =...
Part A-Multiple Choice K/U-20 marks] 1. If the leading coefficient of an odd-degree polynomial function is positive, then the function extends from the third quadrant to the first quadrant; that is, as * , y -co and as →-co, y → b. * →-co, y → and as x 0, y →-60 * →-co, y →-co and as x 0, y → d. X-CO, y -co and as x, y →-00 a. c. c. c. 6 2. Which polynomial function...