Pactorise: 1. (1) 12x +15 (21) 14m - 21 (it) 9n -12n a. (1) 16a' -24ab (i) 15ab -20ab () 12x*y -21x'y S. (1) 24x -36x'y (1) 10x -15x (1) $36x^{3}y-80x^{2}y^{3}2$ 4. (1) Sx - 6x +12x (11) 8x - 72xy +12x () 18a'b -27a b +36a°b 8. (1) 14x +21xy-28x*y (1) -5-10t +20t $a-n\right)+3a-n\right)$ 6. (1) xtx +3)+5(x +3) (31) 5x(x $x-4\right)-7\left(x-4$ (18) 2ml 7. 6ala -26)+5b(a -2b) 8. $x^{3}$ $\left(2a-b\right)+x^{2}\left(2a-b$ 8. $8a\left(3a-5b\right)-12a^{2}\left(3a-5b\right)$ 12. $2a+6b-3\left(a+3b\right)^{2}$ 10. (x +5) - 4(x +5) 11. $3\left(a-2b\right)^{2}-5\left(a-2b\right)$ 15. $12\left(2x-3y\right)^{2}-16\left(3y-2x\right)$ 18. 16(2p-3q1 -4(2p-3q) 14. xla -3) + yl3-a) 16. (x +y)(2x +5) -(x +y)(x +3) 17. ar + br + at + bt 16. x -ax - bx + ab 19. ab* - be - ab +c 20. x - xz +xy -yz 31. 6ab -b +12ac-2be 26. (ax + by) + (bx-ay)* +b?) 22. (x -2y) + 4x - 8y 2283. . y -xy(1 -x)-x 37. ablx +y*)-xyla? 28. ab +la -1)b -1 x -3x +x-3 28. x* - x(a +2b) +2ab uetorles: 1. x-36 2. 4a -9 S. 81 - 49x 4. 4x-9y* 8. 16a* -225b 6. 9a"b? -25 8. 20a - 45b a. x6-3a 6-41x 12b 12. 16x -144x 7. 16a? -144 11. 18. 63a b2 -7 10. 12x 18. 3x - -4287 x 16. - (1-m) 1188. . 1-(b-c)? 17. $3-4p$ $6p$ $\left(2a+3b\right)^{2-16c^{2}}$ $2$ $b\right)$ 18. ((13+x m- ) 4y) - 252 (2x +5y) -1 20. 21. 28. x* -y -2y -1 28. $36c^{2}$ $\left(5a+b\right)^{2}$ $25-\bar{a} 2-b^{2}-2a4$ 36. 25a? -46? + 28bc - 49c 26. 9a" -b + 4b-4 26. 100 -(x -5)² 37. Evaluate ((405)² -(395)"}. 23. Evaluate ((7.8) -(2.2)"}. Pactorie: 2. x+14x + 49 3. 1+2x+x 1. x + 8x +16 8. x +Sax - 9a 6. 4y +20y + 25 4. 9+6z+z 7. 36a + 36a +9 8. SiT +24m +16 9. 2 +2+ 1 $x2121a^{2}-88ab\div 16b$ 10. 49a? $1516x^{2}-24x+9$ $a^{2}+84ab+36b$ 11i6. . $p^{2}-10p+25$ $9y^{2}-12y+4$ $a^{2}b^{2}-6abc+9c$ $19.m^{4}+2m^{2}n^{2}+n$ 18. 1-6x +9x? 16. m2 - 4mn + 4n* 17. im =f +m-2lm). 18. (1+m) -4lm at. Given exp. $1^{2}.m^{2}-2ln-4$ Factorise: 1. x* +5x +6 2 $y^{2}+10y+24$ S. z' +12z +27 4. p +6p +8 8. x +15x +56 6. $y^{2}+19y+60$ 7. x +13x + 40 6. q? -10g +21 9. p° +6p-16 +16 10. x -10x +24 11. x -23x +42 13. x* -17x

Multiple Choice: Encircle the letter of the correct answer. when we divide x2- 3x- 10 by x-57 D. x-7 1. +7 x + 2 What will be the quotient D. x-10 3x + 107 D. x + 10 2 Which binomial is a factor of /(x) x- 6x+ x+ 2 B.X+3 C. x-5 3. $\left(f\left(x\right)-2x^{3}-9x+20$ find the value off(2), using synthetic division. B. 0 (B) 10 C. 15 D. -7 4. What should be the order of the coefficient of polynomial (3x + 7x + 6x - 2) divided by (*+3) B. 6 703-2 B 6-703 2 C. 30-726 D. -6 4 0-3 1 3. If you were dividing x + 4x + 2, how many 0's would you needed when setting up the top row of your synthetic division? D. 2 C. 4 D. 6 6. The following synthetic division shows how $-2x^{4}+3x^{2}-5x$ + 4 is divided by the binomial x-2. Which of the following is the quotient and the remainder? 2. -2 8 r- . <26 - 1-5 10 5 -- 2340 . 6 $A$ $-2x^{3}-4x^{3}-5x-15$ $C$ $-2x^{4}-4x^{2}-5x-15r.-26$ r.-26 D. $-2x^{4}-4x^{3}-5x^{2}-15x-26$ $3$ $-2x^{3}-4x^{2}-5x-13$ 7. trthe binomial $\left(x-B\right)isa$ $acto$ of the polynomial function f(x), which statement must be true? A.f (8)=8 B.(-8) $f\left(-8\right)=8$ D. f (8) = 0 0 Cf(-8) 8. What would be the remainder when x-4 is divided by x + 1? B. 4 B. 6 $C$ $5$ $of2x^{2}+20x+50sq.cm$ D. -12 9. A rectangle with a length $o\left(x+5cmhasa1$ area What polynomial represents its width? A. 5x+ 2 cm. C. x+10 cm. B. x+5 cm. D. 2x + 10 can. 10. What is the numerical method used for dividing a polynomial by a binomial of the form x-c? A. Long Division B. Systematic Division C. Synthetic Division D. Sìmple Division 11 The area of a rectangular pool table is $4x^{4}+24x^{2}+40x$ square meter. The length is 4x meters. What is the width in meters ? 10x $B.x^{3}+6x+10$ C. $20x^{2}$ $+36x$ D. 20x A. x + 6x+ $4x^{3}-5x^{2}-15x-262$ 12. What is the leading coeflicient of the expression-2x-4x'-5x- A. 26 B.-4 C.-15 D. -2 13. For the polynomial $2x^{3}-6x^{2}+3x+10$ $B3$ identify the degree. A. 2 C. 4 D. 5 14. Divide $\left(x^{2}+5x-8\right)by\left(x+3\right)$ $B.12$ What is the remainder? C.-16 D. -14 5. Divide using synthetic division $a\left(2x^{3}+5x^{2}+9\right)+\left(x+3\right)$ $x^{3}-x^{2}+3x$ $c2x^{2}-5x+12$ $D.2x^{2}+x+3$ + 3 B. A. 21 -x

A. Independent Activity 1 Find the missing factor in each of the 1. $x^{3}-8=\left(x-2\right)\left($ 2. $2x^{3}+x^{2}-23x+20=\left(x$ $x+4\right)\left($ 3. $3x^{3}+2x^{2}-37x+12=\left(x-3\right)\left($ 4. $x^{3}-2x^{2}-x^{2}+2=\left(x-2\right)\left($ 5. $2x^{3}-x^{2}-2x+1=\left(2x-1$ ) B. Independent $Asscssmen6$ 1 Determine the factors of the following $1.x^{3}-4x^{2}+4x-3$ 2. $x^{3}+2x^{2}-11x+20$ 3. $3x^{3}-$ $-17x^{2}+22x-60$ 4. $4x^{3}+20x^{2}-47x+12$ 5. $4x^{4}-2x^{3}$ $-4x^{2}+16x-7$ C. Independent Activity 2 Factorize the $fo|lowin9$ 1. $x^{3}-9x$ 2. $2x^{3}+x^{2}-8x-4$ $x^{3}-7x^{2}+11x-5$ 3. 4. $x^{3}+2x^{2}-5x-6$ 5. $2x^{3}-14x-12$