Elective Maths 22

Elective Maths 22

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Question 1 of 20

1. Question
If $x^2+2x-8$ is a factor of the polynomial $f(x)=ax^3-4x^2+28x-16$ , find the value of a.
- 6
- 4
- 3
- -3
Correct

Incorrect
Question 2 of 20

2. Question
If $f(x)=5x^2+2x+1$ , find an expression for f(x-1)
- $5x^2+8x+4$
- $5x^2+2x+4$
- $5x^2-8x+4$
- $5x^2-8x+1$
Correct

Incorrect
Question 3 of 20

3. Question
The polynomial $f(x)=6x^3-7x^2+kx+11$ has a remainder of -23, when divided
(x + 2). Find the value of k.
- -42
- -21
- -19
- 18
Correct

Incorrect
Question 4 of 20

4. Question
If (x+3) is a factor of $6x^3+17x^2-5x-6$ factorize it completely.
- (3x+2)(1+2x)(x+3)
- (3x+2)(1-2x)(x+3)
- (3x-2)(1-2x)(x+3)
- (3x-2)(1+2x)(x+3)
Correct

Incorrect
Question 5 of 20

5. Question
When the polynomial f(X) is divided by x+2, the quotient is $x^2+x-1$ and the remainder is 3. Find f(X)
- $f(x)=x^3+3x^2+3x+1$
- $f(x)=x^3+3x^2+x-1$
- $f(x)=x^3+3x^2+x-5$
- $f(x)=x^3+3x^2+x+1$
Correct

Incorrect
Question 6 of 20

6. Question
A polynomial is defined by $f(x+1)=x^3+3x^2-4x+2$ . Find f(2)
- 8
- 2
- -2
- -8
Correct

Incorrect
Question 7 of 20

7. Question
When the polynomial $f(x)=x^3-ax^2+x-1$ is divided by (x-2), the remainder is -3. Find the value of a.
- 3
- 3/2
- -3/2
- -3
Correct

Incorrect
Question 8 of 20

8. Question
If $\frac{2x+5}{x^2-x-2}=\frac{A}{x-2}+\frac{B}{x+1}$ , find the value of A+B
- 5
- 4
- 3
- 2
Correct

Incorrect
Question 9 of 20

9. Question
Express $\frac{x+2}{x^2-9}-\frac{3}{x-3}$ as a single fraction
- $\frac{-2x+11}{x^2-9}$
- $\frac{-2x+9}{x^2-9}$
- $\frac{-2x+7}{x^2-9}$
- $\frac{-2x-7}{x^2-9}$
Correct

Incorrect
Question 10 of 20

10. Question
Given that $\frac{2x}{(x+6)(x+3)}=\frac{P}{x+6}+\frac{Q}{x+3}$ , Find (P,Q)
- (4,2)
- (2,4)
- (4,-2)
- (-2,4)
Correct

Incorrect
Question 11 of 20

11. Question
Express $\frac{2x+1}{4-x^2}$ into partial fractions.
- $\frac{3}{4(2-x)}-\frac{5}{4(2+x)}$
- $\frac{5}{4(2-x)}-\frac{3}{4(2+x)}$
- [latex]\frac{3}{4(2+x)}-\frac{5}{4(2-x)}[/latex]
- $\frac{3}{4(2+2x)}-\frac{5}{4(2-x)}$
Correct

Incorrect
Question 12 of 20

12. Question
If $(x-A)^2+B\equiv x^2-10x+29$ , find the value of (A+B).
- -9
- -1
- 8
- 9
Correct

Incorrect
Question 13 of 20

13. Question
Given that $\frac{2x}{(x+6)(x+3)}=\frac{P}{x+6}+\frac{Q}{x+3}$ , Find the value of P.
- 4
- 2
- -4
- -2
Correct

Incorrect
Question 14 of 20

14. Question
Given that $\frac{6x+m}{2x^2+7x-15}\equiv\frac{4}{x+5}-\frac{2}{2x-3}$ , find the value of m.
- 20
- 12
- -10
- -22
Correct

Incorrect
Question 15 of 20

15. Question
Solve the equation $256^{(x+1)}=8^{(1-x^2)}$
- -1,-5/3
- -3/8, -5/3
- 8/3, 3/5
- 8/3, 5/3
Correct

Incorrect
Question 16 of 20

16. Question
Simplify $\frac{16^{-\frac{3}{4}}\times81^\frac{1}{4}}{32^\frac{1}{5}}$
- 3/16
- 3/8
- ¼
- ¾
Correct

Incorrect
Question 17 of 20

17. Question
Given that $\left(\frac{3}{2}\right)^y=\left(\frac{8}{27}\right)^{-\frac{2}{3}}$ , find the value of y
- 2/3
- 3/2
- 2
- 3
Correct

Incorrect
Question 18 of 20

18. Question
In a class of 25 students, 6 study Social Studies (A), 14 study Science (B) and three study both Social Studies and Science. Find n(A’ n B’).
- 8
- 5
- 3
- 2
Correct

Incorrect
Question 19 of 20

19. Question
In a class of 25 students, 6 study French (F), 14 study Physics (P) and 3 study both French and Physics. Find n(F¹ n P¹).
- 2
- 3
- 5
- 8
Correct

Incorrect
Question 20 of 20

20. Question
Let U = [2,4, 6, 8, 10, 12) be the universal set, P = (multiples of 4] and Q = (6,8,12). Find (P’ n Q).
- (2,6,10)
- [6,8,12)
- (6)
- ()
Correct

Incorrect

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