Important questions for class 10 mathematics

Important Questions for Class 10

Maths

Chapter 2  Polynomials


Very Short Answer Questions 1 Mark
1. The graphs of y  p(x) are given to us, for some polynomials p(x) . Find
the number of zeroes of p(x) , in each case.

i.




Ans: The graph does not meet the x  axis at any point. Hence, it does not have
any zero.


ii.




Ans: The graph meets the x  axis at only 1 point. Thus, the polynomial p(x)
corresponding to the given graph has only 1 zero.

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,iii.




Ans: The graph meets the x  axis at 3 points. Thus, the polynomial p(x)
corresponding to the given graph has 3 zeroes.


iv.




Ans: The graph meets the x  axis at 2 points. Thus, the polynomial p(x)
corresponding to the given graph has 2 zeroes.


v.




Ans: The graph meets the x  axis at 3 points. Thus, the polynomial p(x)
corresponding to the given graph has 3 zeroes.


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,vi.




Ans: The graph meets the x  axis at 4 points. Thus, the polynomial p(x)
corresponding to the given graph has 4 zeroes.


2. Which of the following is polynomial?

a. x2  6 x  2
1
b. x
x
5
c.
x  3x  1
2


d. none of these
Ans: d. none of these


3. Polynomial 2x4  3x3  5x2  5x2  9x  1 is a
a. linear polynomial
b. quadratic polynomial
c. cubic polynomial
d. bi-quadratic polynomial
Ans: d. bi-quadratic polynomial



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, 4. If  and  are zeros of x2  5x  8 , then the value of (  ) is

a. 5
b. 5
c. 8
d. 8
Ans: b. 5


5. The sum and product of the zeros of a quadratic polynomial are 2 and
15 respectively. The quadratic polynomial is

a. x2  2x  15
b. x2  2x  15
c. x2  2x  15

d. x2  2x  15
Ans: b. x 2  2x  15


6. If p(x)  2x2  3x  5 , 3x  5 , then the value of p( 1) is equal to

a. 7
b. 8
c. 9
d. 10
Ans: d. 10


7. Zeros of p(x)  x2  2x  3

a. 3 and 1
b. 3 and 1

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