1. Find the zeroes of quadratic polynomial 4x - Math with JM - home

Revision -1 (23.07.12)
Polynomials- ClassX
1. Find the zeroes of quadratic polynomial 4x 2 - 9 and
verify the relation between the zeroes and the
coefficients.
2. Obtain all the zeroes of the polynomial x 3 -7x + 6 if
one of its zeroes is 1.
3. Obtain all the zeroes of x 4 + 2x 3 - 7x 2 - 8x + 12 if two
of its zeroes are 2 and -2.
4. Find a quadratic polynomial whose sum and product
of zeroes are respectively √2 and 1/3.
5. True or False:
a) Each polynomial has at least one zero.
b) A cubic polynomial has 6 zeroes
c) Degree of zero polynomial is zero.
d) Graph of x 2 + 4x +4 meets x axis at 2 points.
e) A quadratic polynomial always have two distinct
zeroes.
f) A cubic polynomial may meet x-axis only at
two points.
g) If zeroes of a quadratic polynomial ax 2 + bx + c
are both negative then a, b, c all have the same
sign.
h) Zeroes of polynomial x2 – 4 are equal in magnitude
but opposite in sign.
i) Polynomial x 4 -1 has only two real zeroes.
j) Sum of zeroes in polynomial x 2 - ax + a is same as
the product of its zeroes.

1. 3/2, -3/2
Sum of Zeroes- 0
Product of zeroes- -9/4
2. -3, 2,1
3. 2, -2, -3, 1
4. 3x 2 - 3√2x + 1
5. T,T,T,T,T,F,F,F,F,F
Answers