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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

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

Algebra for College Students
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter13: Conic Sections
Section13.1: Circles
Problem 48PS
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Solve Q10, 11 & 12 showing all steps involved

1. A factor of x' – 6x² + 5x + 12 is G)C1-3cae Α. x-1 В.х - 2 С.х-3 D.x+ 4 C. x – 3 D. x + 4 3. 2. x'+ 2x- X – 3 = %3D A. (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 equation 2 2 A. 2x - x + 2x + 1 = 0 B. 2x'-x - 2x - 1 = 0 D. 2x' – x² – 2x + | = 0 2 C. 2x + x+ 2x – 1 = 0 4. (x’+x²+ 2x+ 3) ÷ (x + 1) = X- A. x + 2 +2 B. x- 2 Remainder ! C. x+ 2 Remainder 1 D. x+ 1 Remainder 1 5. When 3x' – x² + 11x + 10 is divided by (x + 2) the remainder is: A. 8 B. -40 С.0 D. -32 3 6. Ifx + 3 is a factor of x'- x + ax - 3, the value of a is : A. 13 B.- 13 C. 5 D. -7 7. The polynomial P(x) = x + ax² --- bx + 12, is exactly divisible by x The value of the constants a and b respectively are 2 and by x + 2. A. --3 and -4 B. 3 and 4 f.-3 and 4 D. 3 and 16 8. f(x) = 2x³ – x² + px + qleaves no remainder when divided by x +x-2. The values of pand q are 13 10 A. p = 6,q = -7 B.p = -7, q = 6 C.p = 21, q = - 22 D. p = ,q = %3D 3 3. If 3x* + x'- 4x+ mx +n leaves no remainder when divided by x - 1 then the values of m and n are: A. m= -1, n= -1 B. m 3, n= -3 C. m 1, n = -7. D. m -7, n 1 10.If p(x)= 2x' + 11x+ 12x+ c has a repeated factor, the value of c is .3 A. 189 B. -117 C. 9 D.-9 PL-3) 11. The remainder when x'-5x + x + 10 is divided by (x- 1) is 2 А. 7 В. 3 С. 13- 6х D. 6х + 13 12. When x'+ 5x -2 is divided by (x - 1) (x - 2) the remainder is .3. A. 4 B. 12x - 8 С. 12х D. 16 13,The value of r for which x .2 - rx- 2 2 + x2 - x-1 have a common factor Is: + x* -
Transcribed Image Text:1. A factor of x' – 6x² + 5x + 12 is G)C1-3cae Α. x-1 В.х - 2 С.х-3 D.x+ 4 C. x – 3 D. x + 4 3. 2. x'+ 2x- X – 3 = %3D A. (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 equation 2 2 A. 2x - x + 2x + 1 = 0 B. 2x'-x - 2x - 1 = 0 D. 2x' – x² – 2x + | = 0 2 C. 2x + x+ 2x – 1 = 0 4. (x’+x²+ 2x+ 3) ÷ (x + 1) = X- A. x + 2 +2 B. x- 2 Remainder ! C. x+ 2 Remainder 1 D. x+ 1 Remainder 1 5. When 3x' – x² + 11x + 10 is divided by (x + 2) the remainder is: A. 8 B. -40 С.0 D. -32 3 6. Ifx + 3 is a factor of x'- x + ax - 3, the value of a is : A. 13 B.- 13 C. 5 D. -7 7. The polynomial P(x) = x + ax² --- bx + 12, is exactly divisible by x The value of the constants a and b respectively are 2 and by x + 2. A. --3 and -4 B. 3 and 4 f.-3 and 4 D. 3 and 16 8. f(x) = 2x³ – x² + px + qleaves no remainder when divided by x +x-2. The values of pand q are 13 10 A. p = 6,q = -7 B.p = -7, q = 6 C.p = 21, q = - 22 D. p = ,q = %3D 3 3. If 3x* + x'- 4x+ mx +n leaves no remainder when divided by x - 1 then the values of m and n are: A. m= -1, n= -1 B. m 3, n= -3 C. m 1, n = -7. D. m -7, n 1 10.If p(x)= 2x' + 11x+ 12x+ c has a repeated factor, the value of c is .3 A. 189 B. -117 C. 9 D.-9 PL-3) 11. The remainder when x'-5x + x + 10 is divided by (x- 1) is 2 А. 7 В. 3 С. 13- 6х D. 6х + 13 12. When x'+ 5x -2 is divided by (x - 1) (x - 2) the remainder is .3. A. 4 B. 12x - 8 С. 12х D. 16 13,The value of r for which x .2 - rx- 2 2 + x2 - x-1 have a common factor Is: + x* -
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