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 OMR sheets by students
- Deleted portion for polynomials for board exams
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) 3
(b) 5
(c) -5
(d) -3
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
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
4. The quadratic polynomial p(`x`) with -81 and 3 as 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
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`
(d) `frac 1425`
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
8. The number of zeroes for the polynomial `y=p(x)`. If the graph meet the `x`-axis at `3` point is
(a) 0
(b) 2
(c) 1
(d) 3
9. The number of polynomials having zeroes -2 and 4 is:
(a) 1
(b) 2
(c) 3
(d) more than 3
10. If `alpha` and `B` are zeroes of `x^2-6x+k`. What is the value of `k` if `3alpha+2B=20`
(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`
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`
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)
