MCQ Questions class 10 math chapter polynomials 2021
These questions are based on the latest MCQ pattern for the class 10 Term 1 board exam. This year-term 1 exam will be MCQ-based and will be given in OMRÂ sheets by students.
Deleted portion for polynomials for board examsÂ
Statement and simple problems on division algorithm for polynomials with real coefficients.
Class 10 math polynomial questions
1. If `alpha`,`B` are zeroes of `x^2`-4`x`+1 , then `frac1alpha+frac1B-alpha B` is :
(a) 3Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
(b) 5
(c) -5
(d) -3Â
Answer (a)
2. The zeroes of the quadratic polynomial `x^2`-11`x`+28 are:
(a) Both positive
(b) Both negative
(c) One positive and one negative
(d) Both equal
Answer (a)
3. If `alpha`,`B` are zeroes of polynomial `fleft(xright)`= `x^2+px+q` then polynomial having `frac1alpha` and `frac1B` as its zeroes is :
(a) `x^2`+q`x`+p
(b) `x^2`-p`x`+q
(c) q`x^2`+p`x`+1
(d) p`x^2`+q`x`+1
Answer (c)
4. The quadratic polynomial p(`x`) with -81 and 3 as the product and one of the zeroes respectively is:
(a) `x^2`+24`x`=81
(b) `x^2`-24`x`-81
(c) `x^2`-24`x`+81
(d) `x^2`+24`x`+81
Answer (a)
5. If `alpha` and `B` are the zeroes of the polynomial 5`x^2`-7`x`+2 , then the sum of their reciprocals is:
(a) `frac72`
(b)`frac25`
(c) `frac75`Â
(d) `frac 1425`Â
Answer (a)
6. If 1 is zero of the polynomial p(`x`) = `a“x^2`-3(`a`-1) `x`-1, then the value of ‘a’ is :
(a) 2
(b) 1
(c) 3
(d) -3
Answer (b)
7. The degree of the polynomial (`x+1` )(`x^2-x-x^4+1`) is:
(a) 1
(b) 2
(c) 4
(d) 5
Answer (d)
8. The number of zeroes for the polynomial `y=p(x)`. If the graph meets the `x`-axis at the `3` point is
(a) 0
(b) 2
(c) 1
(d) 3
Answer (d)
9. The number of polynomials having zeroes -2 and 4 is:
(a) 1
(b) 2
(c) 3
(d) more than 3
Answer (d)
10. If `alpha` and `B` are zeroes of `x^2-6x+k`. What is the value of `k` if `3alpha+2B=20` Â
(a) 8
(b) -16
(c) 4
(d) -8
Answer (b)
11. The zeroes of the polynomial `x^2-3x-4` are
(a) -3,-1
(b) -1,4
(c) -1,-4
(d) 2,-3
Answer (b)
12. If `alpha` and `B` are the zeroes of the polynomial `x^2+5x+8` then the value of `left(alpha+Bright)` is
(a). -5
(b) 5
(c) -8
(d) 8
Answer (a)
13. If `alpha` and `B` are the zeroes of `2x^2+5x-9` then the value of `alpha“B` is
(a) `frac{-5}4`
(b) `frac{-9}2`
(c) `frac{-7}4`
(d) `frac{-5}2`
Answer (b)
14. If one zero of the quadratic polynomial `kx^2+3x+k` is 2 then the value of k is
(a) `frac{5}6`
(b) `frac{-9}2`
(c) `frac{-6}5`
(d) `frac{6}5`
Answer (c)
15. The zeroes of the quadratic polynomial x² + px + p, p ≠0 are
(a) both equal
(b) Both cannot be positive
(c) both unequal
(d) Both cannot be negative
Answer (b)
