The function y = (x - 1)(x -2)(x - 3) is negative on the interval(s) O a) xE (1, 2 ) (b) x E (1, 2) and X E (3, co) O c) XE ( 2, 3 ) d) x E (- 00, 1) and x E (2, 3)A family of polynomials has equation y = k(x - 4)(x + 1)2. What is an equation for the family member whose graph passes through the point (2, -54)? a) y= 3(x - 4 ) (x + 1)2 O b) y = - 3 (x - 4 ) (*+ 1) 2 cly= 70 225 (x- 4) (x + 1) 2 O d) none of the aboveA graph of y = x3 + 4x2 - 3x- 18 is shown. Use the graph to solve x3 + 4x2 - 3x - 1820. 20 10 y = x'+ 4x- - 3x - 18 2 0 X 10 ( a) x = - 3, x = 2 (b) x 2 2 O c) - 35 x 52 O d) x = - 3, x22The solution to x* - 5x2 +420 is (a) x= -2, x = -1, x = 1, or x = 2 ( b) - 25x5-1 or15x$2 Och x 5-2, -15 x 21, or x 2 2 Od) x 5-2, -15x51, or x 22Match the correct term with the correct part of the statemerit. 4x3 + x-3 = 2x3 + x+1-2 2x - 1 2x - 1 V 2 x - 1 1. dividend 2x2 + x +1 2. divisor V -2 3. quotient 4. remainder 4x3 + x - 3Match the polynomials with the technique that fully factors the polynomial as efficiently as possible. Note: The same technique may apply to more than one polynomial listed. 3x2 - x3 + 9x- 27 1. Difference of squares factoring X - 13x2 + 36 2 Factoring using the factor theorem and long or synthetic division x3 - 7x - 6 3 . Factoring using the factor theorem and long or synthetic division ( x - 3)2 - 49 2 4. Common factoring x3 + 2x2 - 5x- 6 5. Factoring by grouping 6. Trinomial factoring x3 - 11x2 + 17xa) Use long division to divide x3 + 3x2 - 7 by x + 2. Express the result in quotient form. b) Identify any restrictions on the variable. c) Write the corresponding statement that can be used to check the division. d) Verify your answer. A