Problem 1 :
The expression
is equal to which of the following ?
Problem 2 :
If the expression
is written in the form
what us Q in terms of x ?
(a) 3x - 1 (b) 3x + 1 (c) 6x2 + 3x + 1 (c) 6x2 + 5x + 1
Problem 3 :
The expression 4x2 + 5 can be written as A(2x - 1) + R, where A is an expression in terms of x and R is constant. What is the value of R?
Problem 4 :
The function g is defined by a polynomial. The table above shows some values of x and g(x). What is the remainder when g(x) is divided by x + 3 ?
(a) -2 (b) 1 (c) 2 (d) 6
Problem 5 :
2z3 - kxz2 + 5xz + 2x - 2
In the polynomial above, k is constant. If z - 1 is a factor of the polynomial above, what is the value of k ?
Problem 6 :
When 3x2 - 8x - 4 is divided by 3x - 2, the result can be expresses as
What is A in terms of x ?
(a) x - 4 (b) x - 2 (c) x + 2 (d) x + 4
Problem 7 :
The expression 2x2 - 4x - 3 can be written as A(x + 1) + B, where B is constant. What is A in terms of x ?
(a) 2x + 6 (b) 2x + 2 (c) 2x - 2 (d) 2x - 6
Problem 8 :
The expression x2 + 4x - 9 can be written as (ax + b)(x - 2) + c, where a, b and c are constants. What is the value of a + b + c ?
(a) -2 (b) 3 (c) 7 (d) 10
Problem 9 :
For a polynomial p(x), p(2) = 0. Which of the following must be true about p(x) ?
(a) 2x is a factor of p(x) (b) 2x - 2 is a factor of p(x)
(c) x - 2 is a factor of p(x) (d) x + 2 is a factor of p(x)
Problem 10 :
If p(x) = x3 + x2 - 5x + 3, then p(x) is divisible by which of he following ?
I. x - 2 II. x - 1 III. x + 3
(a) I and II only (b) I and III only
(c) II and III only (d) I, II and III
Problem 11 :
If the polynomial p(x) is divisible by x - 2, which of the following could be p(x)
(a) p(x) = -x2 + 5x - 14 (b) p(x) = x2 - 6x - 2
(c) p(x) = 2x2 + x - 8 (d) p(x) = 3x2 - 2x - 8
Problem 12 :
If x - 1 and x + 1 are both factors of the polynomial
ax4 + bx3 - 3x2 + 5x
and a and b are constants, what is the value of a ?
(a) -3 (b) 1 (c) 3 (d) 5
Problem 13 :
For a polynomial p(x), p(1/3) = 0. Which of the following must be a factor of p(x)
(a) 3x - 1 (b) 3x + 1 (c) x - 3 (d) x + 3
1) option c
2) 3x + 1
3) 6
4) 2
5) k = 7
6) x - 2
7) 2x - 6
8) a + b + c = 10
9) Then x - 2 is a factor
10) So, I and III are factors.
11) 3x2 - 2x - 8
12) 3
13) (3x - 1)
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM