7. The polynomial P(x) x + ax?- bx 12., is exactly divisible by x-2 and by x+2. The vaiue of the constants a and b respectively are A. --3 and - 4 B. 3 and 4 :-3 and 4 D. 3 and 16 8. f(x) = 2x-x² + px + qleaves no remainder when divided by x2 + x-2. The values of pand q are 13 10 А. р 6,q = -7 B.p = -7, q = 6 C.p 21, q D.p =4 22 %3D %3D 3 9) 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 189 117C 9

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Solve Q7, 8 & 9 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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