Solve Q10, 11 & 12 showing all steps involved 1. A factor of x' – 6x² + 5x + 12 is G)C1-3caeΑ. x-1В.х - 2 С.х-3 D.x+ 4C. x – 3 D. x + 43.2. x'+ 2x- X – 3 =%3DA. (x - 1)(x+ 1)(x+2)B. (x - 1)(x+1)(x+3) C. (x - 2)(x - 1)(x + 1) D. (x - 3)(x+1)(x+2)3. -is a root of the equation22A. 2x - x + 2x + 1 = 0B. 2x'-x - 2x - 1 = 0D. 2x' – x² – 2x + | = 02C. 2x + x+ 2x – 1 = 04. (x’+x²+ 2x+ 3) ÷ (x + 1) =X-A. x + 2+2 B. x- 2 Remainder ! C. x+ 2 Remainder 1 D. x+ 1 Remainder 15. When 3x' – x² + 11x + 10 is divided by (x + 2) the remainder is:A. 8B. -40С.0D. -3236. Ifx + 3 is a factor of x'- x + ax - 3, the value of a is :A. 13 B.- 13 C. 5 D. -77. The polynomial P(x) = x + ax² --- bx + 12, is exactly divisible by xThe value of the constants a and b respectively are2 and by x + 2.A. --3 and -4B. 3 and 4f.-3 and 4D. 3 and 168. f(x) = 2x³ – x² + px + qleaves no remainder when divided by x +x-2. The values ofpand q are1310A. p = 6,q = -7 B.p = -7, q = 6 C.p = 21, q = - 22 D. p = ,q =%3D33.If 3x* + x'- 4x+ mx +n leaves no remainder when divided by x - 1 then the values of mand n are:A. m= -1, n= -1 B. m 3, n= -3 C. m 1, n = -7. D. m -7, n 110.If p(x)= 2x' + 11x+ 12x+ c has a repeated factor, the value of c is.3A. 189 B. -117 C. 9 D.-9PL-3)11. The remainder when x'-5x + x + 10 is divided by (x- 1) is2А. 7 В. 3 С. 13- 6х D. 6х + 1312. When x'+ 5x -2 is divided by (x - 1) (x - 2) the remainder is.3.A. 4B. 12x - 8С. 12хD. 1613,The value of r for which x.2- rx- 2 2 + x2 - x-1 have a common factor Is:+ x* -

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10,If p(x)= 2x' + 11x + 12x + c has a repeated factor, the value of c is А. 189 В.- 117 С. 9 В.-9 11. The remainder when x'- 5x +x + 10 is divided by (x - 1) is A. 7 B. 3 C. 13-6x D. 6x + 13 12. When x'+ 5x -2 is divided by (x- 1) (x- 2) the remainder is А. 4 B. 12x-8 С. 12х D. 16 12 The volue of r for