If the graph of a polynomial intersects the x – axis at three points, then the number of zeroes will be
a) 0
b) at least three
c) at most three
d) 3

2. If ‘α’ and ‘β’ are the zeroes of a quadratic polynomial x2+ 5x − 5, then
a) α + β = αβ
b) α + β > αβ
c) α + β < αβ
d) α − β = αβ

3. If one zero of the quadratic polynomial x2+ 3x + k is 2, then the value of ‘k’ is
a) –5
b) –10
c) 10
d) 5

4. If x3+x2−2x−3=(x−2)(x2+ax+b)+5, then
a) a = 5 and b = 6
b) a = 4 and b = 5
c) a = 3 and b = 4
d) a = – 3 and b = – 4

5. If √2 and –√2 are the zeroes of 2x4−3x3−3x2+6x−2, then the other zeroes are
a) 2 and 1/2
b) 2 and –2
c) 1/2 and –1/2
d) –2 and –1/2

6. A polynomial of degree ____ is called a quadratic polynomial.
a) 1
b) 2
c) 0
d) 3

7. A polynomial of degree ‘n’ has
a) ‘n’ zeroes
b) at most ‘n’ zeroes
c) one zero
d) at least ‘n’ zeroes

8. If one zero of the polynomial p(x)=(k+4)x2+13x+3k is reciprocal of the other, then the value of ‘k’ is
a) 4
b) 3
c) 2
d) 5

9. If one of the zeroes of the cubic polynomial x3−7x+6 is 2, then the product of the other two zeroes is
a) –2
b) 3
c) –3
d) 2

10. If ‘2’ is the zero of both the polynomials 3x2 + mx − 14 and 2x3 + nx2 + x − 2, then the value of m – 2n is
a) –9
b) 9
c) –1
d) 5

Polynomial Chapter - 2 Quiz 1 Class 10th

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