Algebra Multiple Choice Questions (MCQs) Test with Answers.
What is the value of x2+14x+24, when x=854?
(A) 10,000
(B) 100,000
(C) 741,296
(D) 742,398
Answer: (C) 741,296
Solution:
To avoid the consuming calculation, factorize the given polynomial
x2 + 14x + 24 = x2 + 12x + 2x + 24 = x(x + 12) +2(x + 12)
=> (x + 2) (x + 12)
Subtracting the value of x in above
=> (854 + 2) ( 854 + 12) = (856) (866)
=> 741,296
The average of the polynomials, 2x2 + 5x -6, 5x2 – 5x – 6 and 30 – 7x2 is:
(A) 14
(B) 6
(C) 18
(D) 5x
Answer: (B) 6
Solution:
First, we find the sum of the three polynomials, than divide the answer by 3.
Sum of the three polynomials
2x2 + 5x – 6
5x2 – 5x – 6
-7x2 + 30 / 18
Now, Average = Sum of the three polynomials / 3
= 18 / 3 = 6
so. the answer is 6.
(A) a=69
(B) a+b=ab
(C) b=69
(D) a<1
Answer: (C) b= 69
Explanation:
69(a+b) = 69a+69b (by descriptive law)
(69+a)b = 69b+ ab
then,
69a+69b = 69b + ab
69a = ab
b = 69 (dividing both side by a)
The value x2 + 5x + 6 at x=2?
(A) 2
(B) 10
(C) 15
(D) 20
Answer: (D) 20
Solution:
By putting the of x = 2 in the equation
we have, 22 + 5×2 + 6
4 + 10 + 6 = 20
so the right answer is 20.
What is the solution set of the equation: x2+ 4x + 3 =0
(A) {1, 3}
(B) {–1, 3}
(C) {1, –3}
(D) {–1, –3}
Answer: (D) {–1, –3}
Solution:
