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

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- 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:

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 :

Answer** (c)**

**4.**The quadratic polynomial p(`x`) with -81 and 3 as product and one of the zeroes respectively is:

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:

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 :

Answer **(b)**

**7.**The degree of the polynomial (`x+1` )(`x^2-x-x^4+1`) is:

Answer **(d)**

**8.**The number of zeroes for the polynomial `y=p(x)`. If the graph meet the `x`-axis at `3` point is

Answer **(d)**

**9.**The number of polynomials having zeroes -2 and 4 is:

Answer **(d)**

**10.**If `alpha` and `B` are zeroes of `x^2-6x+k`. What is the value of `k` if `3alpha+2B=20`

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

Answer **(b)**

**14.**If one zero of the quadratic polynomial `kx^2+3x+k` is 2 then the value of k is

Answer **(c)**

**15.**The zeroes of the quadratic polynomial x² + px + p, p ≠ 0 are

(d) both cannot be negative

**(b)**