MCQ - Polynomials, Class 10, Maths Class 10 Notes | EduRev

Class 10 : MCQ - Polynomials, Class 10, Maths Class 10 Notes | EduRev

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1. If α,β are zeroes of the polynomial f(x) = x2 + px + q, then polynomial having 1/α and 1/β as its zeroes is
(a) x2 + qx + p
(b) x2 – px + q
(c) qx2 + px + 1
(d) px2 + qx + 1
 
2. If α and β are zeroes of x2 – 4x + 1, then 1/α + 1/β – αβ is
(a) 3
(b) 5
(c) –5
(d) –3
 
3. The quadratic polynomial having zeroes as 1 and –2 is :
(a) x2 – x + 2
(b) x2 – x – 2
(c) x2 + x – 2
(d) x2 + x + 2
 
4. If α, β are zeroes of x2 – 6x + k, what is the value of k if 3α+2β=20 ?
(a)–16
(b) 8
(c) 2
(d) –8
 
5. If one zero of 2x2 – 3x + k is reciprocal to the other, then the value of k is
(a) 2
(b) −23
(c) −32
(d) –3
 
6. The quadratic polynomial whose sum of zeroes is 3 and product of zeroes is –2 is
(a) x2 + 3x – 2
(b) x2 – 2x + 3
(c) x2 – 3x + 2
(d) x2 – 3x – 2
 
7. If (x + 1) is a factor of x2 – 3ax + 3a – 7, then the value of a is :
(a)1
(b) –1
(c) 0
(d) –2
 
8. The number of polynomials having zeroes –2 and 5 is :
(a)1
(b) 2
(c)3
(d) more than 3
 
9. The quadratic polynomial p(y) with –15 and–7 as sum and one of the zeroes respectively is :
(a) y2 – 15y – 56
(b) y2 – 15y + 56
(c) y2+ 15y + 56
(d) y2 + 15y – 56
 
10.The value of p for which the polynomial x3 + 4x2 – px + 8 is exactly divisible by (x – 2) is :
(a) 0
(b) 3
(c) 5
(d) 16
 
11. If 1 is a zero of the polynomial p(x) = ax2– 3(a – 1)x – 1, then the value of a is :
(a) 1
(b) –1
(c) 2
(d) –2
 
12. If –4 is a zero of the polynomial x2 – x – (2 + 2k), then the value of k is :
(a) 3
(b) 9
(c) 6
(d) –9
 
13.The degree of the polynomial (x + 1)(x2 – x – x4 + 1) is :  
(a) 2
(b) 3
(c) 4
(d) 5
 
14. If (x + 1) is a factor of x2– 3ax + 3a – 7, then the value of a is :
(a) 1
(b) –1
(c) 0
(d) –2
 
15. If sum of the squares of zeroes of the quadratic polynomial f(x) = x2 – 8x + k is 40, the value of k is :
(a) 10
(b) 12
(c) 14
(d) 16
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