WorksheetsProbability, Real nos and Polynomial.
Total questions: 20
Worksheet time: 10mins
If 1 is a zero of the polynomial p(x) = ax2 – 3(a – 1) x – 1, then find the value of a.
1
0
2
3
If α and β are zeroes of the quadratic polynomial x2 – 6x + a; find the value of ‘a’ if 3α + 2β = 20.
8
-2
-16
16
Using division algorithm, find the quotient on dividing f(x) by g(x), where f(x) = 6x3 + 13x2 + x – 2 and g(x) = 2x + 1
3x2+5x-2
3x2-5x+2
3x2+5x+2
none of the above
Find all the zeroes of x4−3x3+6x−4 , if two of its zeroes are
2 and−2
-1,-2
1,2
1,-1
2,-2
If one zero of the polynomial (a2 + 9) x2 + 13x + 6a is reciprocal of the other, find the value of ‘a’.
3
-3
2
0
What is the number of zeroes of the polynomial y = p(x)?
3
2
1
0
The degree of the polynomial (x + 1)(x2 – x – x4 +1) is:
2
3
4
5
If the zeroes of the quadratic polynomial x2 + (a + 1)x + b are 2 and –3, then
a = –7, b = –1
a = 5, b = –1
a = 2, b = – 6
a = 0, b = – 6
If sum of the squares of zeroes of the quadratic polynomial 6x2 + x + k is 25/36, the value of k is:
4
-4
2
-2
If (x + 1) is a factor of x2− 3ax +3a − 7, then the value of a is:
1
-1
0
-2
HCF of co-prime numbers is always__________.
0
1
Any number
Cannot be determined
A boy is playing darts with his friends. What is the probability that his dart will land in an unshaded square?
When calculating experimental probability, as more trials are conducted, the experimental probability generally gets closer to the theoretical probability. Eventually, the experimental probability will equal theoretical probability.
The number −16 belongs to what number system(s)?
natural number
whole number
integer
rational number
imaginary number
Which statement about 15 and π is true?
Both numbers can be categorized as rational.
Both numbers can be written as decimal numbers that neither terminate nor repeat.
Both numbers can be written as fractions with integer numerators and denominators.
Both numbers can be categorized as natural numbers because they are positive.
