AP-EAPCET SERIES
Mathematics

Polynomials

25 previous year questions.

Volume: 25 Ques
Yield: High

High-Yield Trend

5
2025
4
2024
14
2023
2
2022

Chapter Questions
25 MCQs

01
PYQ 2022
medium
mathematics ID: ap-eapce
The sum of the real roots of the equation: $ $ is:
1
-1
2
0
3
1
4
2
02
PYQ 2022
medium
mathematics ID: ap-eapce
If one root of the cubic equation: $ $ is double of another, then the number of negative roots is:
1
1
2
2
3
3
4
0
03
PYQ 2023
medium
mathematics ID: ap-eapce
If the sum of the coefficients of even powers of in the expansion of is 3281, then is:
1
4
2
5
3
6
4
3
04
PYQ 2023
medium
mathematics ID: ap-eapce
If are the roots of , then is:
1
2
3
4
05
PYQ 2023
medium
mathematics ID: ap-eapce
If the equation has three equal roots, then the root is:
1

2

3

4

06
PYQ 2023
medium
mathematics ID: ap-eapce
The degree of the polynomial is:
1
14
2
15
3
16
4
17
07
PYQ 2023
medium
mathematics ID: ap-eapce
If is a twice repeated root of the equation , then the ratio is:
1

2

3

4

08
PYQ 2023
medium
mathematics ID: ap-eapce
If and are the roots of , and and are the roots of , then
1
2
3
4

09
PYQ 2023
medium
mathematics ID: ap-eapce
The minimum value of is:
1
2
3
4

10
PYQ 2023
medium
mathematics ID: ap-eapce
If the sum of the cubes of the roots of the equation is zero, then :
1
2
3
4
11
PYQ 2023
medium
mathematics ID: ap-eapce
If is a factor of , then ?
1
2
3
4
12
PYQ 2023
medium
mathematics ID: ap-eapce
If is a twice repeated root of the equation , then represents:
1
2
3
4

13
PYQ 2023
medium
mathematics ID: ap-eapce
If are the roots of the equation , then is:
1
2
6
3
4
30
14
PYQ 2023
medium
mathematics ID: ap-eapce
If is a polynomial of least degree with integer coefficients and is one of its roots, then that equation is:
1
2
3
4
15
PYQ 2023
easy
mathematics ID: ap-eapce
If and are the roots of the equation , where , then the least value of and the value of are respectively:
1

2

3

4
16
PYQ 2023
medium
mathematics ID: ap-eapce
If are the roots of the equation , then the cubic equation whose roots are is:
1

2

3

4
17
PYQ 2024
medium
mathematics ID: ap-eapce
The condition that the roots of are in arithmetic progression is:
1

2

3

4

18
PYQ 2024
medium
mathematics ID: ap-eapce
The equation has two equal roots. If are the other two roots of this equation, then :
1
4
2
5
3
6
4
7
19
PYQ 2024
medium
mathematics ID: ap-eapce
If is a polynomial such that: then find the value of =
1

2

3

4

20
PYQ 2024
easy
mathematics ID: ap-eapce

If the sum of two roots of is equal to its third root, then ?

1

2

3

4

21
PYQ 2025
medium
mathematics ID: ap-eapce
If are the roots of the equation and one of them is thrice the sum of the other two, then $ $
1
115
2
41
3
56
4
57
22
PYQ 2025
medium
mathematics ID: ap-eapce
The equation will have:
1
only real roots
2
only complex roots
3
two real and two complex roots
4
two real and two purely imaginary roots
23
PYQ 2025
medium
mathematics ID: ap-eapce
The cubic equation whose roots are the squares of the roots of the equation is
1

2

3

4
24
PYQ 2025
medium
mathematics ID: ap-eapce
If are the roots of the equation , then
1

2

3

4

25
PYQ 2025
medium
mathematics ID: ap-eapce
If , , and are the roots of the equation , then
1

2

3

4