a rational expression that has non-permissible values of x = -4 and 0. State the restrictions when writing your rational expression. NPV: - 3, 0 (3 marks) X12 + 4x Simplified = (x +4) (x to) Identify the non-permissible value/s for each of the following expressions (4 marks) (x+1)(x+2) 4x 4(x-2) 2x2-10x (x+ 2) 3 (x+ 3 ) (Hint: factor the denominator) (x2-4) (x2+5x+6) Page | 14x2y3 6. Identify the non-permissible values. Simplify each expression. a. 3ab 16x3 y b. 6a2b - 12ab2 12a3-902 5-5x C. d. 20a2b-15ab x2-1 7x2+ 21x 15x2-5x f. g. x3+ 3x2 9x2-1NT 4.2 - MULTIPLICATION AND DIVISION 22 1 . restrictions Multiply the following rational expressions. Express the answer in simplified form, and state any -5x2 (8 mark) x (23) =1- 5)17) x 2 b. x (x - 3) 25x = 25 ( XXx ) ( x-3) x XX5 5 x2 X x3 (3 - x) 5 ( x 2 - > ) (3-X ) = -35x = 25x[-(3x) -:35 5x5 (3-X) x 4. X 70 = -25x213-X) 5 x8 (3- X ) C. y2 - 9 _ 2y3 - 572 = (420) (2 3-Sci) d. zy2 - 6y y2+y- 12 4y2 - 10y 3y2- 3y [ ly 2- 104/ 13g - 34) 2y2 + 8y y3 - 3y2 - (42- 3 ) [ 4) /24 5 )] 2 4/ 2g- 5 ) [ By /g-1] (2 x 3 ) x (yxy) (2y-5)(41): 4#1 Page |2. Divide the following rational expressions. Express the answer in simplified form and state any restrictions. (8 mark) a. 3x2 b. 5x (3x + 1) 2(1 + 3x) 5x + 15x3 x 4 ( x + 1 ) x (x + 1 ) 5 x / 3 + + D : 8 ( x + 1 ) 25x 5 ( x - 1) = 5/x+1) *2 1 x - 1) x2 ax?(2-1) d. 2y2 - 6y3 y3 - 3y2 C. y y - 1 2y - 5 2y2- 2 2y2 + 8y y2ty - 123. Determine a rational expression meeting the following conditions. a. has a quotient of , b # -1,5.0. (3 marks) b. quotient is m+3 m-3' m # 0, -3, +3. (3 mark