Skip to main content

2

Q1: If sum of the squares of the zeros of the quadratic polynomial f(x) = x2 - 8x + k is 40, find the value of k:
12
-12
14
-14
Q2: When the polynomial f(x) = 4x3 + 8x2 + 8x + 7 is divided by the polynomial g(x) = 2x2 - x + 1, the quotient and the remainder are
Quotient = 2x + 5, Remainder = 11x + 2
Quotient = x -5, Remainder = 13
Quotient = x2 - 5, Remainder = 15
Quotient = 2x - 5, Remainder = 11x
Q3: If the polynomial (2x + 3 ) is a factor of the polynomial  2x3  +   9x2  -  x  –  b: The value of b is_______
 10  
15     
5
 20
Q4: The expression that should be subtracted from the polynomial f(x) = x4 + 2x3 -13x2 - 12x + 21 so that the resulting polynomial is exactly divisible by g(x) = x2 – 4x + 3 is
2x - 3
x2 - 3
x2 + 4
x - 4
Q5: The graph of the polynomial f(x) = 2x - 5 crosses the X-axis at the point
(0, 0)
(5/2, 0)
(4, 3)
(1, -3)
Q6: If the points (5,0), (1-2) and (3,6) lie on the graph of a polynomial: The zero of the polynomial is_____
5
-2
6
Does not exist
Q7: The three zeroes of the polynomial 2x3 + 5x2 - 28x - 15 _____
are all integers
are all natural numbers
are all rational numbers
are not all real numbers
Q8: Find the quadratic polynomial whose zeros are 2 and -6:
x2 + 4x - 12
x2 - 4x + 12
x2 + 4x + 12
x2 - 4x - 12
Q9: When  x3 - 3x2 + 5x - 3 is divided by x2 - k , the remainder is 7x + a : Then the value of k is_____
1
3
2
6
Q10: The sum of the two polynomials P(x) = 4 x3 + 3x2 and Q (x ) = 3 x2 – 4x + 2 is __
Quadratic polynomial
Linear polynomial
 Cubic polynomial
Bi- quadratic polynomial
Q11: Find the sum and the product of zeroes of the polynomial x2 +7x +10:
-7,-10
-7, 10
7, 10
7,-10
Q12: If (x + 1) is a factor of 2x3 + ax2 + 2bx + 1, then find the values of a and b given that 2a - 3b = 4:
a = 5, b = 2
a = 2, b = 5
a = 5, b = 5
a = 2, b = 2
Q13: The value of quadratic polynomial f (x) = 2x2 - 3x - 2 at x =-2 is ……
12
15
16
-12
Q14: The value of p when x3 + 9x2 + px - 10 is exactly divisible by (x + 2 ) is ____
    1
    3
    9
    6
Q15: Given a polynomial p(x) of degree ‘n’, the graph of y = p(x) intersects the X-axis
at most n points
at most n + 1 points
at most 0 points
at most n - 1 points
Q16: A polynomial of degree 2 is called a
Binomial
Trinomial
Quadratic polynomial
Biquadratic polynomial
Q17: The sum and product of zeros of a quadratic polynomial are 2 and -15 respectively: The quadratic polynomial is
x2 - 2x + 15
x2 - 2x - 15
x2 + 2x - 15
x2 + 2x + 15
Q18: If "1" is a zero of the polynomial P(a) =  x2a2 - 2xa + 2x - 4, then x = ______
+2, -2
4
-3
-2, 0
Q19: When the polynomial f(x) = 4x3 + 8x2 + 8x + 7 is divided by the polynomial g(x) = 2x2 - x + 1, the quotient and the remainder are
Quotient = 2x + 5, Remainder = 11x + 2
Quotient = x -5, Remainder = 13
Quotient = x2 - 5, Remainder = 15
Quotient = 2x - 5, Remainder = 11x
Q20: If the polynomial p(x) is divisible by x - 4, and 2 is a zero of p(x), then find p(x):
x2 + 6x – 8
x2 – 6x – 8
x2 – 6x+ 8
x2 + 6x + 8
Q21: A fourth degree polynomial is called
A bi-quadratic polynomial
Quadratic polynomial
Cubic polynomial
Binomial
Q22: If the polynomial p(x) is divisible by x - 4, and 2 is a zero of p(x), then find p(x):
x2 + 6x – 8
x2 – 6x – 8
x2 – 6x+ 8
x2 + 6x + 8
Q23: If (x + 1) is a factor of x2 - 3ax + 3a - 7, then the value of a is:
1
-1
0
-2
Q24: Find the sum and the product of the zeroes of the polynomial: x2-3x-10
-3, -10
3, 10
3,-10
-3, 10
Q25: What must be added to f(x) = 2x4 + 6x3 - 4x + 8, so that the resulting polynomial is divisible by g(x) = x2 - x + 1:
−6x + 2
6x + 2
6x - 2
−6x + 2
Q26: The polynomial  8s² + 7s – 3 is a
monomial
trinomial
binomial
constant
Q27: What value(s) can x take in the expression k(x - 10) (x + 10) = 0, where k is any real number?
Infinitely many
10, -10
100, -100
Depends on value of k
Q28: If the degree of the dividend is 5 and the degree of the divisor is 3, then the degree of the quotient will be
2
1
-2
0
Q29: The degree of the polynomial 8x³- 3x²+ 5x -9 is
2
1
0
3
Q30: A polynomial of degree three is called ……
cubic polynomial
zero polynomial
quadratic polynomial
linear polynomial
Q31: When x2  - 2x + k divides the polynomial x4 - 6x3 + 16x2 - 25x + 10, the remainder is (x + a) : The value of a is _______
    5
    3
    -5
    -3
Q32: If one zero of polynomial f(x) = (k2 + 4)x2 + 13x + 4k is reciprocal of the other, then k =
2
-2
1
-1
Q33: If 1 is a zero of the polynomial P(a) = x2a2 - 2xa + 3x - 2 : Then x = ___________
2,1
-2,1
2,-1
-1,-2
Q34: If the degree of the divisor g(x) is one then the degree of the remainder r(x) is
2
3
0
1
Q35: If one of the zeros of f(x) = x³ + 13x² + 32x + 20 is -2 then all its zeros are
2, 13, 11
-2, 5, 10
4, -2, -10
-10, -1, -2
Q36: Using the division algorithm, find the divisor if the quotient is p - 3, the remainder is p - 4 and the dividend is p2 + 3p - 7:
p - 3
p - 4
p - 1
p + 3
Q37: The expression that should be added to the polynomial f(x) = x4 + 2x3 – 2x2 + x + 1, so that it should be exactly divisible by (x2 + 2x – 3) is
x3 – 3
x - 4
x + 2
2 - x
Q38: If the product of two zeros of the polynomial f(x) = 2x3 + 6x2 - 4x + 9 is 3, then its third zero is
3/2
-3/2
9/2
-9/2
Q39: A quadratic polynomial  __________
is always a binomial
is always a Trinomial
is always a Monomial
may be a monomial, binomial or a trinomial
Q40: The value of ‘a’ so that (x + 6) is a factor of the polynomial x3 + 5x2 - 4x + a is
13
12
0
10

Comments

Post a Comment

Popular posts from this blog

6

Q 1. If in two right triangles, hypotenuse and one side of one triangle are proportional to the hypotenuse and one side of the other triangle,then the two triangles are __________. Both similar and congruent Similar Congruent Neither similar nor congruent Q 2. Two equilateral triangles are always similar never similar cannot say unless measurements are given only if they are congruent Q 3. Triangle ABC is similar to triangle DEF and their areas are 64 cm 2  and 121 cm 2  respectively. If EF= 15.4 cm, then BC = ? 11 cm 8 cm 13 cm 11.2 cm Q 4. The ratio of the areas of two similar triangles is equal to the: square of the ratio of their corresponding sides. the ratio of their corresponding sides square of the ratio of their corresponding angles None Q 5. "A line from midpoint of one side of a triangle, parallel to second side bisects the third side." is the statement of: converse of mid point theorem converse of basic proportionali...
Post a Comment
Read more

12

Q 1. Area of a sector of a circle of radius 36 cm is 54Π cm 2 . The length of the corresponding arc of the sector is 2Π cm 3Π cm 4Π cm 5Π cm Q 2. The area of a circular plot is 9856 sq. m. The cost of fencing the plot at the rate of Rs. 7 per meter will be Rs. 2000 Rs. 3456 Rs. 2464 Rs. 2211 Q 3. The ratio between the radii of two circles is 1 : 5. Calculate the ratio between their circumferences. 1 : 2 1 : 5 1 : 6 1 : 8 Q 4. The radius of a circle if its perimeter and area are numerically equal is 2 units 5 units 4 units 8 units Q 5. To warn ships of underwater rocks, a light house spreads a red colored light over a sector of angle 80 o  to a distance of 16.5 km. The area of the sea over which the ships are warned is 190.14 km 2 200 km 2 180.5 km 2 135.7 km 2 Q 6. The area and circumference of a circle are numerically equal. What is the diameter of the circle? 2 units 20 units 4 units 40 unit...
Post a Comment
Read more